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Finding the Fourth Proportional to 1,480.17, 2,042.58 and 817.05

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Solution

The fourth proportional to 1,480.17, 2,042.58 and 817.05 is: 1,127.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.17 : 2,042.58 = 817.05 : x
  2. Step 2: Convert to fraction form
    1,480.17/2,042.58 = 817.05/x
  3. Step 3: Cross multiply
    1,480.17x = 2,042.58 × 817.05
  4. Step 4: Simplify right side
    1,480.17x = 1,668,900.71
  5. Step 5: Solve for x
    x = 1,668,900.71/1,480.17
  6. Step 6: Final answer
    x = 1,127.50

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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.