Home / 2,565.12-3,540-1,683.28

Finding the Fourth Proportional to 2,565.12, 3,540 and 1,683.28

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Solution

The fourth proportional to 2,565.12, 3,540 and 1,683.28 is: 2,323.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.12 : 3,540 = 1,683.28 : x
  2. Step 2: Convert to fraction form
    2,565.12/3,540 = 1,683.28/x
  3. Step 3: Cross multiply
    2,565.12x = 3,540 × 1,683.28
  4. Step 4: Simplify right side
    2,565.12x = 5,958,811.20
  5. Step 5: Solve for x
    x = 5,958,811.20/2,565.12
  6. Step 6: Final answer
    x = 2,323.01

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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.