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Finding the Fourth Proportional to 1,453.16, 2,178.61 and 722.17

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Solution

The fourth proportional to 1,453.16, 2,178.61 and 722.17 is: 1,082.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.16 : 2,178.61 = 722.17 : x
  2. Step 2: Convert to fraction form
    1,453.16/2,178.61 = 722.17/x
  3. Step 3: Cross multiply
    1,453.16x = 2,178.61 × 722.17
  4. Step 4: Simplify right side
    1,453.16x = 1,573,326.78
  5. Step 5: Solve for x
    x = 1,573,326.78/1,453.16
  6. Step 6: Final answer
    x = 1,082.69

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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.