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Finding the Fourth Proportional to 2,674.98, 4,013.01 and 1,580.13

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Solution

The fourth proportional to 2,674.98, 4,013.01 and 1,580.13 is: 2,370.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.98 : 4,013.01 = 1,580.13 : x
  2. Step 2: Convert to fraction form
    2,674.98/4,013.01 = 1,580.13/x
  3. Step 3: Cross multiply
    2,674.98x = 4,013.01 × 1,580.13
  4. Step 4: Simplify right side
    2,674.98x = 6,341,077.49
  5. Step 5: Solve for x
    x = 6,341,077.49/2,674.98
  6. Step 6: Final answer
    x = 2,370.51

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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.