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Finding the Fourth Proportional to 2,374.02, 3,560.97 and 914.19

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Solution

The fourth proportional to 2,374.02, 3,560.97 and 914.19 is: 1,371.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.02 : 3,560.97 = 914.19 : x
  2. Step 2: Convert to fraction form
    2,374.02/3,560.97 = 914.19/x
  3. Step 3: Cross multiply
    2,374.02x = 3,560.97 × 914.19
  4. Step 4: Simplify right side
    2,374.02x = 3,255,403.16
  5. Step 5: Solve for x
    x = 3,255,403.16/2,374.02
  6. Step 6: Final answer
    x = 1,371.26

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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.