Home / 1,542.29-2,313.95-811.67

Finding the Fourth Proportional to 1,542.29, 2,313.95 and 811.67

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Solution

The fourth proportional to 1,542.29, 2,313.95 and 811.67 is: 1,217.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.29 : 2,313.95 = 811.67 : x
  2. Step 2: Convert to fraction form
    1,542.29/2,313.95 = 811.67/x
  3. Step 3: Cross multiply
    1,542.29x = 2,313.95 × 811.67
  4. Step 4: Simplify right side
    1,542.29x = 1,878,148.17
  5. Step 5: Solve for x
    x = 1,878,148.17/1,542.29
  6. Step 6: Final answer
    x = 1,217.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.