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Finding the Fourth Proportional to 2,599.97, 3,899.53 and 750.69

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Solution

The fourth proportional to 2,599.97, 3,899.53 and 750.69 is: 1,125.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.97 : 3,899.53 = 750.69 : x
  2. Step 2: Convert to fraction form
    2,599.97/3,899.53 = 750.69/x
  3. Step 3: Cross multiply
    2,599.97x = 3,899.53 × 750.69
  4. Step 4: Simplify right side
    2,599.97x = 2,927,352.19
  5. Step 5: Solve for x
    x = 2,927,352.19/2,599.97
  6. Step 6: Final answer
    x = 1,125.92

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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.