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Finding the Fourth Proportional to 1,291.90, 1,925.01 and 1,229.14

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Solution

The fourth proportional to 1,291.90, 1,925.01 and 1,229.14 is: 1,831.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.90 : 1,925.01 = 1,229.14 : x
  2. Step 2: Convert to fraction form
    1,291.90/1,925.01 = 1,229.14/x
  3. Step 3: Cross multiply
    1,291.90x = 1,925.01 × 1,229.14
  4. Step 4: Simplify right side
    1,291.90x = 2,366,097.17
  5. Step 5: Solve for x
    x = 2,366,097.17/1,291.90
  6. Step 6: Final answer
    x = 1,831.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.