Home / 2,047.68-3,071.25-1,314.90

Finding the Fourth Proportional to 2,047.68, 3,071.25 and 1,314.90

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Solution

The fourth proportional to 2,047.68, 3,071.25 and 1,314.90 is: 1,972.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.68 : 3,071.25 = 1,314.90 : x
  2. Step 2: Convert to fraction form
    2,047.68/3,071.25 = 1,314.90/x
  3. Step 3: Cross multiply
    2,047.68x = 3,071.25 × 1,314.90
  4. Step 4: Simplify right side
    2,047.68x = 4,038,386.63
  5. Step 5: Solve for x
    x = 4,038,386.63/2,047.68
  6. Step 6: Final answer
    x = 1,972.18

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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.