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Finding the Fourth Proportional to 1,507.86, 2,084.13 and 1,391.22

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Solution

The fourth proportional to 1,507.86, 2,084.13 and 1,391.22 is: 1,922.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.86 : 2,084.13 = 1,391.22 : x
  2. Step 2: Convert to fraction form
    1,507.86/2,084.13 = 1,391.22/x
  3. Step 3: Cross multiply
    1,507.86x = 2,084.13 × 1,391.22
  4. Step 4: Simplify right side
    1,507.86x = 2,899,483.34
  5. Step 5: Solve for x
    x = 2,899,483.34/1,507.86
  6. Step 6: Final answer
    x = 1,922.91

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