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Finding the Fourth Proportional to 1,787.55, 2,466.74 and 980.00

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Solution

The fourth proportional to 1,787.55, 2,466.74 and 980.00 is: 1,352.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.55 : 2,466.74 = 980.00 : x
  2. Step 2: Convert to fraction form
    1,787.55/2,466.74 = 980.00/x
  3. Step 3: Cross multiply
    1,787.55x = 2,466.74 × 980.00
  4. Step 4: Simplify right side
    1,787.55x = 2,417,404.57
  5. Step 5: Solve for x
    x = 2,417,404.57/1,787.55
  6. Step 6: Final answer
    x = 1,352.36

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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.