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Finding the Fourth Proportional to 2,024.92, 3,034.86 and 869.32

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Solution

The fourth proportional to 2,024.92, 3,034.86 and 869.32 is: 1,302.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.92 : 3,034.86 = 869.32 : x
  2. Step 2: Convert to fraction form
    2,024.92/3,034.86 = 869.32/x
  3. Step 3: Cross multiply
    2,024.92x = 3,034.86 × 869.32
  4. Step 4: Simplify right side
    2,024.92x = 2,638,264.50
  5. Step 5: Solve for x
    x = 2,638,264.50/2,024.92
  6. Step 6: Final answer
    x = 1,302.90

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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.