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Finding the Fourth Proportional to 1,717.60, 2,570.16 and 1,024.56

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Solution

The fourth proportional to 1,717.60, 2,570.16 and 1,024.56 is: 1,533.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.60 : 2,570.16 = 1,024.56 : x
  2. Step 2: Convert to fraction form
    1,717.60/2,570.16 = 1,024.56/x
  3. Step 3: Cross multiply
    1,717.60x = 2,570.16 × 1,024.56
  4. Step 4: Simplify right side
    1,717.60x = 2,633,283.13
  5. Step 5: Solve for x
    x = 2,633,283.13/1,717.60
  6. Step 6: Final answer
    x = 1,533.12

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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.