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Finding the Fourth Proportional to 2,599.96, 3,899.80 and 652.08

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Solution

The fourth proportional to 2,599.96, 3,899.80 and 652.08 is: 978.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.96 : 3,899.80 = 652.08 : x
  2. Step 2: Convert to fraction form
    2,599.96/3,899.80 = 652.08/x
  3. Step 3: Cross multiply
    2,599.96x = 3,899.80 × 652.08
  4. Step 4: Simplify right side
    2,599.96x = 2,542,981.58
  5. Step 5: Solve for x
    x = 2,542,981.58/2,599.96
  6. Step 6: Final answer
    x = 978.08

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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.