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Finding the Fourth Proportional to 2,326.40, 3,211.42 and 1,488.22

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Solution

The fourth proportional to 2,326.40, 3,211.42 and 1,488.22 is: 2,054.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.40 : 3,211.42 = 1,488.22 : x
  2. Step 2: Convert to fraction form
    2,326.40/3,211.42 = 1,488.22/x
  3. Step 3: Cross multiply
    2,326.40x = 3,211.42 × 1,488.22
  4. Step 4: Simplify right side
    2,326.40x = 4,779,299.47
  5. Step 5: Solve for x
    x = 4,779,299.47/2,326.40
  6. Step 6: Final answer
    x = 2,054.38

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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.