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Finding the Fourth Proportional to 1,418.40, 2,126.18 and 689.00

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Solution

The fourth proportional to 1,418.40, 2,126.18 and 689.00 is: 1,032.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.40 : 2,126.18 = 689.00 : x
  2. Step 2: Convert to fraction form
    1,418.40/2,126.18 = 689.00/x
  3. Step 3: Cross multiply
    1,418.40x = 2,126.18 × 689.00
  4. Step 4: Simplify right side
    1,418.40x = 1,464,929.11
  5. Step 5: Solve for x
    x = 1,464,929.11/1,418.40
  6. Step 6: Final answer
    x = 1,032.80

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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.