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Finding the Fourth Proportional to 1,411.49, 2,117.96 and 671.94

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Solution

The fourth proportional to 1,411.49, 2,117.96 and 671.94 is: 1,008.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.49 : 2,117.96 = 671.94 : x
  2. Step 2: Convert to fraction form
    1,411.49/2,117.96 = 671.94/x
  3. Step 3: Cross multiply
    1,411.49x = 2,117.96 × 671.94
  4. Step 4: Simplify right side
    1,411.49x = 1,423,135.07
  5. Step 5: Solve for x
    x = 1,423,135.07/1,411.49
  6. Step 6: Final answer
    x = 1,008.25

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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.