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Finding the Fourth Proportional to 2,592.40, 3,574.68 and 1,751.64

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Solution

The fourth proportional to 2,592.40, 3,574.68 and 1,751.64 is: 2,415.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.40 : 3,574.68 = 1,751.64 : x
  2. Step 2: Convert to fraction form
    2,592.40/3,574.68 = 1,751.64/x
  3. Step 3: Cross multiply
    2,592.40x = 3,574.68 × 1,751.64
  4. Step 4: Simplify right side
    2,592.40x = 6,261,562.46
  5. Step 5: Solve for x
    x = 6,261,562.46/2,592.40
  6. Step 6: Final answer
    x = 2,415.35

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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.