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Finding the Fourth Proportional to 1,948.47, 2,920.41 and 715.08

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Solution

The fourth proportional to 1,948.47, 2,920.41 and 715.08 is: 1,071.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.47 : 2,920.41 = 715.08 : x
  2. Step 2: Convert to fraction form
    1,948.47/2,920.41 = 715.08/x
  3. Step 3: Cross multiply
    1,948.47x = 2,920.41 × 715.08
  4. Step 4: Simplify right side
    1,948.47x = 2,088,326.78
  5. Step 5: Solve for x
    x = 2,088,326.78/1,948.47
  6. Step 6: Final answer
    x = 1,071.78

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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.