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Finding the Fourth Proportional to 3,032.94, 4,547.24 and 2,448.66

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Solution

The fourth proportional to 3,032.94, 4,547.24 and 2,448.66 is: 3,671.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.94 : 4,547.24 = 2,448.66 : x
  2. Step 2: Convert to fraction form
    3,032.94/4,547.24 = 2,448.66/x
  3. Step 3: Cross multiply
    3,032.94x = 4,547.24 × 2,448.66
  4. Step 4: Simplify right side
    3,032.94x = 11,134,644.70
  5. Step 5: Solve for x
    x = 11,134,644.70/3,032.94
  6. Step 6: Final answer
    x = 3,671.24

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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.