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Finding the Fourth Proportional to 1,554.50, 2,146.10 and 1,024.92

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Solution

The fourth proportional to 1,554.50, 2,146.10 and 1,024.92 is: 1,414.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.50 : 2,146.10 = 1,024.92 : x
  2. Step 2: Convert to fraction form
    1,554.50/2,146.10 = 1,024.92/x
  3. Step 3: Cross multiply
    1,554.50x = 2,146.10 × 1,024.92
  4. Step 4: Simplify right side
    1,554.50x = 2,199,591.42
  5. Step 5: Solve for x
    x = 2,199,591.42/1,554.50
  6. Step 6: Final answer
    x = 1,414.98

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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.