Home / 1,677.71-2,315.31-931.67

Finding the Fourth Proportional to 1,677.71, 2,315.31 and 931.67

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Solution

The fourth proportional to 1,677.71, 2,315.31 and 931.67 is: 1,285.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.71 : 2,315.31 = 931.67 : x
  2. Step 2: Convert to fraction form
    1,677.71/2,315.31 = 931.67/x
  3. Step 3: Cross multiply
    1,677.71x = 2,315.31 × 931.67
  4. Step 4: Simplify right side
    1,677.71x = 2,157,098.48
  5. Step 5: Solve for x
    x = 2,157,098.48/1,677.71
  6. Step 6: Final answer
    x = 1,285.74

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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.