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Finding the Fourth Proportional to 1,787.40, 2,466.54 and 1,041.38

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Solution

The fourth proportional to 1,787.40, 2,466.54 and 1,041.38 is: 1,437.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.40 : 2,466.54 = 1,041.38 : x
  2. Step 2: Convert to fraction form
    1,787.40/2,466.54 = 1,041.38/x
  3. Step 3: Cross multiply
    1,787.40x = 2,466.54 × 1,041.38
  4. Step 4: Simplify right side
    1,787.40x = 2,568,605.43
  5. Step 5: Solve for x
    x = 2,568,605.43/1,787.40
  6. Step 6: Final answer
    x = 1,437.06

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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.