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Finding the Fourth Proportional to 2,888.24, 4,332.40 and 836.24

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Solution

The fourth proportional to 2,888.24, 4,332.40 and 836.24 is: 1,254.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.24 : 4,332.40 = 836.24 : x
  2. Step 2: Convert to fraction form
    2,888.24/4,332.40 = 836.24/x
  3. Step 3: Cross multiply
    2,888.24x = 4,332.40 × 836.24
  4. Step 4: Simplify right side
    2,888.24x = 3,622,926.18
  5. Step 5: Solve for x
    x = 3,622,926.18/2,888.24
  6. Step 6: Final answer
    x = 1,254.37

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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.