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Finding the Fourth Proportional to 2,374.76, 3,277.55 and 1,490.69

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Solution

The fourth proportional to 2,374.76, 3,277.55 and 1,490.69 is: 2,057.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.76 : 3,277.55 = 1,490.69 : x
  2. Step 2: Convert to fraction form
    2,374.76/3,277.55 = 1,490.69/x
  3. Step 3: Cross multiply
    2,374.76x = 3,277.55 × 1,490.69
  4. Step 4: Simplify right side
    2,374.76x = 4,885,787.17
  5. Step 5: Solve for x
    x = 4,885,787.17/2,374.76
  6. Step 6: Final answer
    x = 2,057.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.