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Finding the Fourth Proportional to 1,615.68, 2,424.96 and 846.72

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Solution

The fourth proportional to 1,615.68, 2,424.96 and 846.72 is: 1,270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.68 : 2,424.96 = 846.72 : x
  2. Step 2: Convert to fraction form
    1,615.68/2,424.96 = 846.72/x
  3. Step 3: Cross multiply
    1,615.68x = 2,424.96 × 846.72
  4. Step 4: Simplify right side
    1,615.68x = 2,053,262.13
  5. Step 5: Solve for x
    x = 2,053,262.13/1,615.68
  6. Step 6: Final answer
    x = 1,270.83

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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.