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Finding the Fourth Proportional to 1,746.75, 2,616.76 and 1,014.10

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Solution

The fourth proportional to 1,746.75, 2,616.76 and 1,014.10 is: 1,519.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.75 : 2,616.76 = 1,014.10 : x
  2. Step 2: Convert to fraction form
    1,746.75/2,616.76 = 1,014.10/x
  3. Step 3: Cross multiply
    1,746.75x = 2,616.76 × 1,014.10
  4. Step 4: Simplify right side
    1,746.75x = 2,653,656.32
  5. Step 5: Solve for x
    x = 2,653,656.32/1,746.75
  6. Step 6: Final answer
    x = 1,519.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.