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Finding the Fourth Proportional to 1,414.40, 2,121.60 and 1,030.40

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Solution

The fourth proportional to 1,414.40, 2,121.60 and 1,030.40 is: 1,545.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.40 : 2,121.60 = 1,030.40 : x
  2. Step 2: Convert to fraction form
    1,414.40/2,121.60 = 1,030.40/x
  3. Step 3: Cross multiply
    1,414.40x = 2,121.60 × 1,030.40
  4. Step 4: Simplify right side
    1,414.40x = 2,186,096.64
  5. Step 5: Solve for x
    x = 2,186,096.64/1,414.40
  6. Step 6: Final answer
    x = 1,545.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.