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Finding the Fourth Proportional to 2,373.54, 3,560.38 and 986.96

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Solution

The fourth proportional to 2,373.54, 3,560.38 and 986.96 is: 1,480.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.54 : 3,560.38 = 986.96 : x
  2. Step 2: Convert to fraction form
    2,373.54/3,560.38 = 986.96/x
  3. Step 3: Cross multiply
    2,373.54x = 3,560.38 × 986.96
  4. Step 4: Simplify right side
    2,373.54x = 3,513,952.64
  5. Step 5: Solve for x
    x = 3,513,952.64/2,373.54
  6. Step 6: Final answer
    x = 1,480.47

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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.