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Finding the Fourth Proportional to 1,964.95, 2,946.74 and 870.08

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Solution

The fourth proportional to 1,964.95, 2,946.74 and 870.08 is: 1,304.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.95 : 2,946.74 = 870.08 : x
  2. Step 2: Convert to fraction form
    1,964.95/2,946.74 = 870.08/x
  3. Step 3: Cross multiply
    1,964.95x = 2,946.74 × 870.08
  4. Step 4: Simplify right side
    1,964.95x = 2,563,909.08
  5. Step 5: Solve for x
    x = 2,563,909.08/1,964.95
  6. Step 6: Final answer
    x = 1,304.82

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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.