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Finding the Fourth Proportional to 1,348.97, 1,862.65 and 1,102.93

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Solution

The fourth proportional to 1,348.97, 1,862.65 and 1,102.93 is: 1,522.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.97 : 1,862.65 = 1,102.93 : x
  2. Step 2: Convert to fraction form
    1,348.97/1,862.65 = 1,102.93/x
  3. Step 3: Cross multiply
    1,348.97x = 1,862.65 × 1,102.93
  4. Step 4: Simplify right side
    1,348.97x = 2,054,373.56
  5. Step 5: Solve for x
    x = 2,054,373.56/1,348.97
  6. Step 6: Final answer
    x = 1,522.92

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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.