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Finding the Fourth Proportional to 1,315.30, 1,973.03 and 341.41

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Solution

The fourth proportional to 1,315.30, 1,973.03 and 341.41 is: 512.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.30 : 1,973.03 = 341.41 : x
  2. Step 2: Convert to fraction form
    1,315.30/1,973.03 = 341.41/x
  3. Step 3: Cross multiply
    1,315.30x = 1,973.03 × 341.41
  4. Step 4: Simplify right side
    1,315.30x = 673,612.17
  5. Step 5: Solve for x
    x = 673,612.17/1,315.30
  6. Step 6: Final answer
    x = 512.14

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Why These Related Problems?

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