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Finding the Fourth Proportional to 1,315.87, 1,973.57 and 341.91

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Solution

The fourth proportional to 1,315.87, 1,973.57 and 341.91 is: 512.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.87 : 1,973.57 = 341.91 : x
  2. Step 2: Convert to fraction form
    1,315.87/1,973.57 = 341.91/x
  3. Step 3: Cross multiply
    1,315.87x = 1,973.57 × 341.91
  4. Step 4: Simplify right side
    1,315.87x = 674,781.61
  5. Step 5: Solve for x
    x = 674,781.61/1,315.87
  6. Step 6: Final answer
    x = 512.80

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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.