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Finding the Fourth Proportional to 2,407.52, 3,322.80 and 2,298.08

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Solution

The fourth proportional to 2,407.52, 3,322.80 and 2,298.08 is: 3,171.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.52 : 3,322.80 = 2,298.08 : x
  2. Step 2: Convert to fraction form
    2,407.52/3,322.80 = 2,298.08/x
  3. Step 3: Cross multiply
    2,407.52x = 3,322.80 × 2,298.08
  4. Step 4: Simplify right side
    2,407.52x = 7,636,060.22
  5. Step 5: Solve for x
    x = 7,636,060.22/2,407.52
  6. Step 6: Final answer
    x = 3,171.75

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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.