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Finding the Fourth Proportional to 1,742.60, 2,612.76 and 767.84

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Solution

The fourth proportional to 1,742.60, 2,612.76 and 767.84 is: 1,151.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.60 : 2,612.76 = 767.84 : x
  2. Step 2: Convert to fraction form
    1,742.60/2,612.76 = 767.84/x
  3. Step 3: Cross multiply
    1,742.60x = 2,612.76 × 767.84
  4. Step 4: Simplify right side
    1,742.60x = 2,006,181.64
  5. Step 5: Solve for x
    x = 2,006,181.64/1,742.60
  6. Step 6: Final answer
    x = 1,151.26

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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.