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Finding the Fourth Proportional to 2,302.84, 3,454.75 and 742.93

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Solution

The fourth proportional to 2,302.84, 3,454.75 and 742.93 is: 1,114.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.84 : 3,454.75 = 742.93 : x
  2. Step 2: Convert to fraction form
    2,302.84/3,454.75 = 742.93/x
  3. Step 3: Cross multiply
    2,302.84x = 3,454.75 × 742.93
  4. Step 4: Simplify right side
    2,302.84x = 2,566,639.43
  5. Step 5: Solve for x
    x = 2,566,639.43/2,302.84
  6. Step 6: Final answer
    x = 1,114.55

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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.