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Finding the Fourth Proportional to 1,787.70, 2,466.81 and 1,041.78

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Solution

The fourth proportional to 1,787.70, 2,466.81 and 1,041.78 is: 1,437.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.70 : 2,466.81 = 1,041.78 : x
  2. Step 2: Convert to fraction form
    1,787.70/2,466.81 = 1,041.78/x
  3. Step 3: Cross multiply
    1,787.70x = 2,466.81 × 1,041.78
  4. Step 4: Simplify right side
    1,787.70x = 2,569,873.32
  5. Step 5: Solve for x
    x = 2,569,873.32/1,787.70
  6. Step 6: Final answer
    x = 1,437.53

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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.