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Finding the Fourth Proportional to 1,499.76, 2,054.16 and 1,411.20

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Solution

The fourth proportional to 1,499.76, 2,054.16 and 1,411.20 is: 1,932.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.76 : 2,054.16 = 1,411.20 : x
  2. Step 2: Convert to fraction form
    1,499.76/2,054.16 = 1,411.20/x
  3. Step 3: Cross multiply
    1,499.76x = 2,054.16 × 1,411.20
  4. Step 4: Simplify right side
    1,499.76x = 2,898,830.59
  5. Step 5: Solve for x
    x = 2,898,830.59/1,499.76
  6. Step 6: Final answer
    x = 1,932.86

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.