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Finding the Fourth Proportional to 1,418.99, 1,959.10 and 971.61

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Solution

The fourth proportional to 1,418.99, 1,959.10 and 971.61 is: 1,341.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.99 : 1,959.10 = 971.61 : x
  2. Step 2: Convert to fraction form
    1,418.99/1,959.10 = 971.61/x
  3. Step 3: Cross multiply
    1,418.99x = 1,959.10 × 971.61
  4. Step 4: Simplify right side
    1,418.99x = 1,903,475.47
  5. Step 5: Solve for x
    x = 1,903,475.47/1,418.99
  6. Step 6: Final answer
    x = 1,341.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.