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Finding the Fourth Proportional to 2,574.62, 3,552.96 and 1,455.80

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Solution

The fourth proportional to 2,574.62, 3,552.96 and 1,455.80 is: 2,009.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.62 : 3,552.96 = 1,455.80 : x
  2. Step 2: Convert to fraction form
    2,574.62/3,552.96 = 1,455.80/x
  3. Step 3: Cross multiply
    2,574.62x = 3,552.96 × 1,455.80
  4. Step 4: Simplify right side
    2,574.62x = 5,172,399.17
  5. Step 5: Solve for x
    x = 5,172,399.17/2,574.62
  6. Step 6: Final answer
    x = 2,009.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.