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Finding the Fourth Proportional to 2,269.06, 3,402.90 and 807.40

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Solution

The fourth proportional to 2,269.06, 3,402.90 and 807.40 is: 1,210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.06 : 3,402.90 = 807.40 : x
  2. Step 2: Convert to fraction form
    2,269.06/3,402.90 = 807.40/x
  3. Step 3: Cross multiply
    2,269.06x = 3,402.90 × 807.40
  4. Step 4: Simplify right side
    2,269.06x = 2,747,501.46
  5. Step 5: Solve for x
    x = 2,747,501.46/2,269.06
  6. Step 6: Final answer
    x = 1,210.85

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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.