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Finding the Fourth Proportional to 2,101.68, 2,900.52 and 1,403.28

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Solution

The fourth proportional to 2,101.68, 2,900.52 and 1,403.28 is: 1,936.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.68 : 2,900.52 = 1,403.28 : x
  2. Step 2: Convert to fraction form
    2,101.68/2,900.52 = 1,403.28/x
  3. Step 3: Cross multiply
    2,101.68x = 2,900.52 × 1,403.28
  4. Step 4: Simplify right side
    2,101.68x = 4,070,241.71
  5. Step 5: Solve for x
    x = 4,070,241.71/2,101.68
  6. Step 6: Final answer
    x = 1,936.66

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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.