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Finding the Fourth Proportional to 2,502.57, 3,453.72 and 1,440.51

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Solution

The fourth proportional to 2,502.57, 3,453.72 and 1,440.51 is: 1,988.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.57 : 3,453.72 = 1,440.51 : x
  2. Step 2: Convert to fraction form
    2,502.57/3,453.72 = 1,440.51/x
  3. Step 3: Cross multiply
    2,502.57x = 3,453.72 × 1,440.51
  4. Step 4: Simplify right side
    2,502.57x = 4,975,118.20
  5. Step 5: Solve for x
    x = 4,975,118.20/2,502.57
  6. Step 6: Final answer
    x = 1,988.00

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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.