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Finding the Fourth Proportional to 1,746.57, 2,410.49 and 1,000.60

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Solution

The fourth proportional to 1,746.57, 2,410.49 and 1,000.60 is: 1,380.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.57 : 2,410.49 = 1,000.60 : x
  2. Step 2: Convert to fraction form
    1,746.57/2,410.49 = 1,000.60/x
  3. Step 3: Cross multiply
    1,746.57x = 2,410.49 × 1,000.60
  4. Step 4: Simplify right side
    1,746.57x = 2,411,924.24
  5. Step 5: Solve for x
    x = 2,411,924.24/1,746.57
  6. Step 6: Final answer
    x = 1,380.95

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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.