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Finding the Fourth Proportional to 2,381.17, 3,570.99 and 993.76

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Solution

The fourth proportional to 2,381.17, 3,570.99 and 993.76 is: 1,490.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.17 : 3,570.99 = 993.76 : x
  2. Step 2: Convert to fraction form
    2,381.17/3,570.99 = 993.76/x
  3. Step 3: Cross multiply
    2,381.17x = 3,570.99 × 993.76
  4. Step 4: Simplify right side
    2,381.17x = 3,548,707.02
  5. Step 5: Solve for x
    x = 3,548,707.02/2,381.17
  6. Step 6: Final answer
    x = 1,490.32

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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.