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Finding the Fourth Proportional to 1,411.52, 1,946.67 and 1,116.27

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Solution

The fourth proportional to 1,411.52, 1,946.67 and 1,116.27 is: 1,539.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.52 : 1,946.67 = 1,116.27 : x
  2. Step 2: Convert to fraction form
    1,411.52/1,946.67 = 1,116.27/x
  3. Step 3: Cross multiply
    1,411.52x = 1,946.67 × 1,116.27
  4. Step 4: Simplify right side
    1,411.52x = 2,173,009.32
  5. Step 5: Solve for x
    x = 2,173,009.32/1,411.52
  6. Step 6: Final answer
    x = 1,539.49

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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.