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Finding the Fourth Proportional to 2,488.09, 3,433.35 and 1,440.22

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Solution

The fourth proportional to 2,488.09, 3,433.35 and 1,440.22 is: 1,987.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.09 : 3,433.35 = 1,440.22 : x
  2. Step 2: Convert to fraction form
    2,488.09/3,433.35 = 1,440.22/x
  3. Step 3: Cross multiply
    2,488.09x = 3,433.35 × 1,440.22
  4. Step 4: Simplify right side
    2,488.09x = 4,944,779.34
  5. Step 5: Solve for x
    x = 4,944,779.34/2,488.09
  6. Step 6: Final answer
    x = 1,987.38

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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.