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Finding the Fourth Proportional to 1,487.71, 2,054.36 and 964.99

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Solution

The fourth proportional to 1,487.71, 2,054.36 and 964.99 is: 1,332.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.71 : 2,054.36 = 964.99 : x
  2. Step 2: Convert to fraction form
    1,487.71/2,054.36 = 964.99/x
  3. Step 3: Cross multiply
    1,487.71x = 2,054.36 × 964.99
  4. Step 4: Simplify right side
    1,487.71x = 1,982,436.86
  5. Step 5: Solve for x
    x = 1,982,436.86/1,487.71
  6. Step 6: Final answer
    x = 1,332.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.