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Finding the Fourth Proportional to 2,385.84, 3,579.27 and 742.32

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Solution

The fourth proportional to 2,385.84, 3,579.27 and 742.32 is: 1,113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.84 : 3,579.27 = 742.32 : x
  2. Step 2: Convert to fraction form
    2,385.84/3,579.27 = 742.32/x
  3. Step 3: Cross multiply
    2,385.84x = 3,579.27 × 742.32
  4. Step 4: Simplify right side
    2,385.84x = 2,656,963.71
  5. Step 5: Solve for x
    x = 2,656,963.71/2,385.84
  6. Step 6: Final answer
    x = 1,113.64

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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.