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Finding the Fourth Proportional to 1,566.34, 2,160.88 and 1,007.13

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Solution

The fourth proportional to 1,566.34, 2,160.88 and 1,007.13 is: 1,389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.34 : 2,160.88 = 1,007.13 : x
  2. Step 2: Convert to fraction form
    1,566.34/2,160.88 = 1,007.13/x
  3. Step 3: Cross multiply
    1,566.34x = 2,160.88 × 1,007.13
  4. Step 4: Simplify right side
    1,566.34x = 2,176,292.66
  5. Step 5: Solve for x
    x = 2,176,292.66/1,566.34
  6. Step 6: Final answer
    x = 1,389.41

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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.