Home / 2,564.19-3,826.16-2,407.45

Finding the Fourth Proportional to 2,564.19, 3,826.16 and 2,407.45

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Solution

The fourth proportional to 2,564.19, 3,826.16 and 2,407.45 is: 3,592.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.19 : 3,826.16 = 2,407.45 : x
  2. Step 2: Convert to fraction form
    2,564.19/3,826.16 = 2,407.45/x
  3. Step 3: Cross multiply
    2,564.19x = 3,826.16 × 2,407.45
  4. Step 4: Simplify right side
    2,564.19x = 9,211,286.42
  5. Step 5: Solve for x
    x = 9,211,286.42/2,564.19
  6. Step 6: Final answer
    x = 3,592.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.