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Finding the Fourth Proportional to 2,456.51, 3,390.14 and 1,408.91

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Solution

The fourth proportional to 2,456.51, 3,390.14 and 1,408.91 is: 1,944.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.51 : 3,390.14 = 1,408.91 : x
  2. Step 2: Convert to fraction form
    2,456.51/3,390.14 = 1,408.91/x
  3. Step 3: Cross multiply
    2,456.51x = 3,390.14 × 1,408.91
  4. Step 4: Simplify right side
    2,456.51x = 4,776,395.10
  5. Step 5: Solve for x
    x = 4,776,395.10/2,456.51
  6. Step 6: Final answer
    x = 1,944.38

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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.