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Finding the Fourth Proportional to 2,374.59, 3,276.90 and 1,380.44

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Solution

The fourth proportional to 2,374.59, 3,276.90 and 1,380.44 is: 1,904.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.59 : 3,276.90 = 1,380.44 : x
  2. Step 2: Convert to fraction form
    2,374.59/3,276.90 = 1,380.44/x
  3. Step 3: Cross multiply
    2,374.59x = 3,276.90 × 1,380.44
  4. Step 4: Simplify right side
    2,374.59x = 4,523,547.45
  5. Step 5: Solve for x
    x = 4,523,547.45/2,374.59
  6. Step 6: Final answer
    x = 1,904.98

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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.