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Finding the Fourth Proportional to 1,386.10, 2,079.09 and 346.11

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Solution

The fourth proportional to 1,386.10, 2,079.09 and 346.11 is: 519.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.10 : 2,079.09 = 346.11 : x
  2. Step 2: Convert to fraction form
    1,386.10/2,079.09 = 346.11/x
  3. Step 3: Cross multiply
    1,386.10x = 2,079.09 × 346.11
  4. Step 4: Simplify right side
    1,386.10x = 719,593.84
  5. Step 5: Solve for x
    x = 719,593.84/1,386.10
  6. Step 6: Final answer
    x = 519.15

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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.