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Finding the Fourth Proportional to 2,101.29, 2,897.96 and 1,355.01

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Solution

The fourth proportional to 2,101.29, 2,897.96 and 1,355.01 is: 1,868.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.29 : 2,897.96 = 1,355.01 : x
  2. Step 2: Convert to fraction form
    2,101.29/2,897.96 = 1,355.01/x
  3. Step 3: Cross multiply
    2,101.29x = 2,897.96 × 1,355.01
  4. Step 4: Simplify right side
    2,101.29x = 3,926,758.00
  5. Step 5: Solve for x
    x = 3,926,758.00/2,101.29
  6. Step 6: Final answer
    x = 1,868.74

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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.