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Finding the Fourth Proportional to 2,476.40, 3,713.72 and 1,159.93

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Solution

The fourth proportional to 2,476.40, 3,713.72 and 1,159.93 is: 1,739.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.40 : 3,713.72 = 1,159.93 : x
  2. Step 2: Convert to fraction form
    2,476.40/3,713.72 = 1,159.93/x
  3. Step 3: Cross multiply
    2,476.40x = 3,713.72 × 1,159.93
  4. Step 4: Simplify right side
    2,476.40x = 4,307,660.61
  5. Step 5: Solve for x
    x = 4,307,660.61/2,476.40
  6. Step 6: Final answer
    x = 1,739.48

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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.