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Finding the Fourth Proportional to 2,442.66, 3,373.65 and 1,655.34

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Solution

The fourth proportional to 2,442.66, 3,373.65 and 1,655.34 is: 2,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.66 : 3,373.65 = 1,655.34 : x
  2. Step 2: Convert to fraction form
    2,442.66/3,373.65 = 1,655.34/x
  3. Step 3: Cross multiply
    2,442.66x = 3,373.65 × 1,655.34
  4. Step 4: Simplify right side
    2,442.66x = 5,584,525.14
  5. Step 5: Solve for x
    x = 5,584,525.14/2,442.66
  6. Step 6: Final answer
    x = 2,286.25

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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.