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Finding the Fourth Proportional to 4,644.29, 6,964.62 and 1,870.45

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Solution

The fourth proportional to 4,644.29, 6,964.62 and 1,870.45 is: 2,804.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.29 : 6,964.62 = 1,870.45 : x
  2. Step 2: Convert to fraction form
    4,644.29/6,964.62 = 1,870.45/x
  3. Step 3: Cross multiply
    4,644.29x = 6,964.62 × 1,870.45
  4. Step 4: Simplify right side
    4,644.29x = 13,026,949.05
  5. Step 5: Solve for x
    x = 13,026,949.05/4,644.29
  6. Step 6: Final answer
    x = 2,804.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.