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Finding the Fourth Proportional to 1,757.25, 2,424.76 and 1,492.76

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Solution

The fourth proportional to 1,757.25, 2,424.76 and 1,492.76 is: 2,059.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.25 : 2,424.76 = 1,492.76 : x
  2. Step 2: Convert to fraction form
    1,757.25/2,424.76 = 1,492.76/x
  3. Step 3: Cross multiply
    1,757.25x = 2,424.76 × 1,492.76
  4. Step 4: Simplify right side
    1,757.25x = 3,619,587.07
  5. Step 5: Solve for x
    x = 3,619,587.07/1,757.25
  6. Step 6: Final answer
    x = 2,059.80

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1.5x scale

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.