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Finding the Fourth Proportional to 1,415.26, 1,952.66 and 917.92

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Solution

The fourth proportional to 1,415.26, 1,952.66 and 917.92 is: 1,266.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.26 : 1,952.66 = 917.92 : x
  2. Step 2: Convert to fraction form
    1,415.26/1,952.66 = 917.92/x
  3. Step 3: Cross multiply
    1,415.26x = 1,952.66 × 917.92
  4. Step 4: Simplify right side
    1,415.26x = 1,792,385.67
  5. Step 5: Solve for x
    x = 1,792,385.67/1,415.26
  6. Step 6: Final answer
    x = 1,266.47

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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.