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Finding the Fourth Proportional to 2,429.71, 3,645.93 and 968.98

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Solution

The fourth proportional to 2,429.71, 3,645.93 and 968.98 is: 1,454.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.71 : 3,645.93 = 968.98 : x
  2. Step 2: Convert to fraction form
    2,429.71/3,645.93 = 968.98/x
  3. Step 3: Cross multiply
    2,429.71x = 3,645.93 × 968.98
  4. Step 4: Simplify right side
    2,429.71x = 3,532,833.25
  5. Step 5: Solve for x
    x = 3,532,833.25/2,429.71
  6. Step 6: Final answer
    x = 1,454.01

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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.