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Finding the Fourth Proportional to 1,717.56, 2,370.18 and 931.58

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Solution

The fourth proportional to 1,717.56, 2,370.18 and 931.58 is: 1,285.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.56 : 2,370.18 = 931.58 : x
  2. Step 2: Convert to fraction form
    1,717.56/2,370.18 = 931.58/x
  3. Step 3: Cross multiply
    1,717.56x = 2,370.18 × 931.58
  4. Step 4: Simplify right side
    1,717.56x = 2,208,012.28
  5. Step 5: Solve for x
    x = 2,208,012.28/1,717.56
  6. Step 6: Final answer
    x = 1,285.55

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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.