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Finding the Fourth Proportional to 2,099.66, 2,897.98 and 1,400.63

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Solution

The fourth proportional to 2,099.66, 2,897.98 and 1,400.63 is: 1,933.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.66 : 2,897.98 = 1,400.63 : x
  2. Step 2: Convert to fraction form
    2,099.66/2,897.98 = 1,400.63/x
  3. Step 3: Cross multiply
    2,099.66x = 2,897.98 × 1,400.63
  4. Step 4: Simplify right side
    2,099.66x = 4,058,979.74
  5. Step 5: Solve for x
    x = 4,058,979.74/2,099.66
  6. Step 6: Final answer
    x = 1,933.17

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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.