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Finding the Fourth Proportional to 1,315.41, 1,973.06 and 341.47

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Solution

The fourth proportional to 1,315.41, 1,973.06 and 341.47 is: 512.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.41 : 1,973.06 = 341.47 : x
  2. Step 2: Convert to fraction form
    1,315.41/1,973.06 = 341.47/x
  3. Step 3: Cross multiply
    1,315.41x = 1,973.06 × 341.47
  4. Step 4: Simplify right side
    1,315.41x = 673,740.80
  5. Step 5: Solve for x
    x = 673,740.80/1,315.41
  6. Step 6: Final answer
    x = 512.19

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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.