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Finding the Fourth Proportional to 2,889.16, 4,332.32 and 1,040

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Solution

The fourth proportional to 2,889.16, 4,332.32 and 1,040 is: 1,559.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.16 : 4,332.32 = 1,040 : x
  2. Step 2: Convert to fraction form
    2,889.16/4,332.32 = 1,040/x
  3. Step 3: Cross multiply
    2,889.16x = 4,332.32 × 1,040
  4. Step 4: Simplify right side
    2,889.16x = 4,505,612.80
  5. Step 5: Solve for x
    x = 4,505,612.80/2,889.16
  6. Step 6: Final answer
    x = 1,559.49

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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.