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Finding the Fourth Proportional to 1,715.67, 2,366.73 and 1,156.16

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Solution

The fourth proportional to 1,715.67, 2,366.73 and 1,156.16 is: 1,594.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.67 : 2,366.73 = 1,156.16 : x
  2. Step 2: Convert to fraction form
    1,715.67/2,366.73 = 1,156.16/x
  3. Step 3: Cross multiply
    1,715.67x = 2,366.73 × 1,156.16
  4. Step 4: Simplify right side
    1,715.67x = 2,736,306.72
  5. Step 5: Solve for x
    x = 2,736,306.72/1,715.67
  6. Step 6: Final answer
    x = 1,594.89

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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.