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Finding the Fourth Proportional to 2,253.61, 3,378.10 and 866.57

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Solution

The fourth proportional to 2,253.61, 3,378.10 and 866.57 is: 1,298.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.61 : 3,378.10 = 866.57 : x
  2. Step 2: Convert to fraction form
    2,253.61/3,378.10 = 866.57/x
  3. Step 3: Cross multiply
    2,253.61x = 3,378.10 × 866.57
  4. Step 4: Simplify right side
    2,253.61x = 2,927,360.12
  5. Step 5: Solve for x
    x = 2,927,360.12/2,253.61
  6. Step 6: Final answer
    x = 1,298.96

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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.