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Finding the Fourth Proportional to 3,117.98, 4,681.07 and 2,429.07

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Solution

The fourth proportional to 3,117.98, 4,681.07 and 2,429.07 is: 3,646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.98 : 4,681.07 = 2,429.07 : x
  2. Step 2: Convert to fraction form
    3,117.98/4,681.07 = 2,429.07/x
  3. Step 3: Cross multiply
    3,117.98x = 4,681.07 × 2,429.07
  4. Step 4: Simplify right side
    3,117.98x = 11,370,634.56
  5. Step 5: Solve for x
    x = 11,370,634.56/3,117.98
  6. Step 6: Final answer
    x = 3,646.80

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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.