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Finding the Fourth Proportional to 1,576.81, 2,176.10 and 878.19

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Solution

The fourth proportional to 1,576.81, 2,176.10 and 878.19 is: 1,211.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.81 : 2,176.10 = 878.19 : x
  2. Step 2: Convert to fraction form
    1,576.81/2,176.10 = 878.19/x
  3. Step 3: Cross multiply
    1,576.81x = 2,176.10 × 878.19
  4. Step 4: Simplify right side
    1,576.81x = 1,911,029.26
  5. Step 5: Solve for x
    x = 1,911,029.26/1,576.81
  6. Step 6: Final answer
    x = 1,211.96

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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.