Home / 2,025.40-3,032.34-1,407.16

Finding the Fourth Proportional to 2,025.40, 3,032.34 and 1,407.16

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Solution

The fourth proportional to 2,025.40, 3,032.34 and 1,407.16 is: 2,106.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.40 : 3,032.34 = 1,407.16 : x
  2. Step 2: Convert to fraction form
    2,025.40/3,032.34 = 1,407.16/x
  3. Step 3: Cross multiply
    2,025.40x = 3,032.34 × 1,407.16
  4. Step 4: Simplify right side
    2,025.40x = 4,266,987.55
  5. Step 5: Solve for x
    x = 4,266,987.55/2,025.40
  6. Step 6: Final answer
    x = 2,106.74

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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.