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Finding the Fourth Proportional to 2,459.48, 3,386.24 and 2,291.81

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Solution

The fourth proportional to 2,459.48, 3,386.24 and 2,291.81 is: 3,155.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.48 : 3,386.24 = 2,291.81 : x
  2. Step 2: Convert to fraction form
    2,459.48/3,386.24 = 2,291.81/x
  3. Step 3: Cross multiply
    2,459.48x = 3,386.24 × 2,291.81
  4. Step 4: Simplify right side
    2,459.48x = 7,760,590.30
  5. Step 5: Solve for x
    x = 7,760,590.30/2,459.48
  6. Step 6: Final answer
    x = 3,155.38

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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.