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Finding the Fourth Proportional to 2,298.96, 3,449.01 and 655.53

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Solution

The fourth proportional to 2,298.96, 3,449.01 and 655.53 is: 983.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.96 : 3,449.01 = 655.53 : x
  2. Step 2: Convert to fraction form
    2,298.96/3,449.01 = 655.53/x
  3. Step 3: Cross multiply
    2,298.96x = 3,449.01 × 655.53
  4. Step 4: Simplify right side
    2,298.96x = 2,260,929.53
  5. Step 5: Solve for x
    x = 2,260,929.53/2,298.96
  6. Step 6: Final answer
    x = 983.46

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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.