Home / 1,315.35-1,972.58-1,023.17

Finding the Fourth Proportional to 1,315.35, 1,972.58 and 1,023.17

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Solution

The fourth proportional to 1,315.35, 1,972.58 and 1,023.17 is: 1,534.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.35 : 1,972.58 = 1,023.17 : x
  2. Step 2: Convert to fraction form
    1,315.35/1,972.58 = 1,023.17/x
  3. Step 3: Cross multiply
    1,315.35x = 1,972.58 × 1,023.17
  4. Step 4: Simplify right side
    1,315.35x = 2,018,269.70
  5. Step 5: Solve for x
    x = 2,018,269.70/1,315.35
  6. Step 6: Final answer
    x = 1,534.40

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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.