Home / 2,564.16-3,840.48-1,587.48

Finding the Fourth Proportional to 2,564.16, 3,840.48 and 1,587.48

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Solution

The fourth proportional to 2,564.16, 3,840.48 and 1,587.48 is: 2,377.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.16 : 3,840.48 = 1,587.48 : x
  2. Step 2: Convert to fraction form
    2,564.16/3,840.48 = 1,587.48/x
  3. Step 3: Cross multiply
    2,564.16x = 3,840.48 × 1,587.48
  4. Step 4: Simplify right side
    2,564.16x = 6,096,685.19
  5. Step 5: Solve for x
    x = 6,096,685.19/2,564.16
  6. Step 6: Final answer
    x = 2,377.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.