Home / 2,077.56-3,116.40-923.40

Finding the Fourth Proportional to 2,077.56, 3,116.40 and 923.40

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Solution

The fourth proportional to 2,077.56, 3,116.40 and 923.40 is: 1,385.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.56 : 3,116.40 = 923.40 : x
  2. Step 2: Convert to fraction form
    2,077.56/3,116.40 = 923.40/x
  3. Step 3: Cross multiply
    2,077.56x = 3,116.40 × 923.40
  4. Step 4: Simplify right side
    2,077.56x = 2,877,683.76
  5. Step 5: Solve for x
    x = 2,877,683.76/2,077.56
  6. Step 6: Final answer
    x = 1,385.13

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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.