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Finding the Fourth Proportional to 1,315.17, 1,972.76 and 341.35

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Solution

The fourth proportional to 1,315.17, 1,972.76 and 341.35 is: 512.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.17 : 1,972.76 = 341.35 : x
  2. Step 2: Convert to fraction form
    1,315.17/1,972.76 = 341.35/x
  3. Step 3: Cross multiply
    1,315.17x = 1,972.76 × 341.35
  4. Step 4: Simplify right side
    1,315.17x = 673,394.99
  5. Step 5: Solve for x
    x = 673,394.99/1,315.17
  6. Step 6: Final answer
    x = 512.02

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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.