Home / 1,407.40-2,111.10-1,148.20

Finding the Fourth Proportional to 1,407.40, 2,111.10 and 1,148.20

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Solution

The fourth proportional to 1,407.40, 2,111.10 and 1,148.20 is: 1,722.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.40 : 2,111.10 = 1,148.20 : x
  2. Step 2: Convert to fraction form
    1,407.40/2,111.10 = 1,148.20/x
  3. Step 3: Cross multiply
    1,407.40x = 2,111.10 × 1,148.20
  4. Step 4: Simplify right side
    1,407.40x = 2,423,965.02
  5. Step 5: Solve for x
    x = 2,423,965.02/1,407.40
  6. Step 6: Final answer
    x = 1,722.30

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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.