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Finding the Fourth Proportional to 2,363.56, 3,545.76 and 902.32

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Solution

The fourth proportional to 2,363.56, 3,545.76 and 902.32 is: 1,353.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.56 : 3,545.76 = 902.32 : x
  2. Step 2: Convert to fraction form
    2,363.56/3,545.76 = 902.32/x
  3. Step 3: Cross multiply
    2,363.56x = 3,545.76 × 902.32
  4. Step 4: Simplify right side
    2,363.56x = 3,199,410.16
  5. Step 5: Solve for x
    x = 3,199,410.16/2,363.56
  6. Step 6: Final answer
    x = 1,353.64

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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.