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Finding the Fourth Proportional to 2,950.74, 4,424.94 and 870.03

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Solution

The fourth proportional to 2,950.74, 4,424.94 and 870.03 is: 1,304.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.74 : 4,424.94 = 870.03 : x
  2. Step 2: Convert to fraction form
    2,950.74/4,424.94 = 870.03/x
  3. Step 3: Cross multiply
    2,950.74x = 4,424.94 × 870.03
  4. Step 4: Simplify right side
    2,950.74x = 3,849,830.55
  5. Step 5: Solve for x
    x = 3,849,830.55/2,950.74
  6. Step 6: Final answer
    x = 1,304.70

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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.