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Finding the Fourth Proportional to 1,652.87, 2,280.76 and 971.56

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Solution

The fourth proportional to 1,652.87, 2,280.76 and 971.56 is: 1,340.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.87 : 2,280.76 = 971.56 : x
  2. Step 2: Convert to fraction form
    1,652.87/2,280.76 = 971.56/x
  3. Step 3: Cross multiply
    1,652.87x = 2,280.76 × 971.56
  4. Step 4: Simplify right side
    1,652.87x = 2,215,895.61
  5. Step 5: Solve for x
    x = 2,215,895.61/1,652.87
  6. Step 6: Final answer
    x = 1,340.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.