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Finding the Fourth Proportional to 1,712.96, 2,569.38 and 617.06

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Solution

The fourth proportional to 1,712.96, 2,569.38 and 617.06 is: 925.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.96 : 2,569.38 = 617.06 : x
  2. Step 2: Convert to fraction form
    1,712.96/2,569.38 = 617.06/x
  3. Step 3: Cross multiply
    1,712.96x = 2,569.38 × 617.06
  4. Step 4: Simplify right side
    1,712.96x = 1,585,461.62
  5. Step 5: Solve for x
    x = 1,585,461.62/1,712.96
  6. Step 6: Final answer
    x = 925.57

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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.