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Finding the Fourth Proportional to 2,339.64, 3,492.39 and 2,158.20

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Solution

The fourth proportional to 2,339.64, 3,492.39 and 2,158.20 is: 3,221.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.64 : 3,492.39 = 2,158.20 : x
  2. Step 2: Convert to fraction form
    2,339.64/3,492.39 = 2,158.20/x
  3. Step 3: Cross multiply
    2,339.64x = 3,492.39 × 2,158.20
  4. Step 4: Simplify right side
    2,339.64x = 7,537,276.10
  5. Step 5: Solve for x
    x = 7,537,276.10/2,339.64
  6. Step 6: Final answer
    x = 3,221.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.