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Finding the Fourth Proportional to 2,572.41, 3,549.18 and 1,734.06

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Solution

The fourth proportional to 2,572.41, 3,549.18 and 1,734.06 is: 2,392.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.41 : 3,549.18 = 1,734.06 : x
  2. Step 2: Convert to fraction form
    2,572.41/3,549.18 = 1,734.06/x
  3. Step 3: Cross multiply
    2,572.41x = 3,549.18 × 1,734.06
  4. Step 4: Simplify right side
    2,572.41x = 6,154,491.07
  5. Step 5: Solve for x
    x = 6,154,491.07/2,572.41
  6. Step 6: Final answer
    x = 2,392.50

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Why These Related Problems?

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