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Finding the Fourth Proportional to 2,835.68, 4,253.54 and 1,603.17

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Solution

The fourth proportional to 2,835.68, 4,253.54 and 1,603.17 is: 2,404.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.68 : 4,253.54 = 1,603.17 : x
  2. Step 2: Convert to fraction form
    2,835.68/4,253.54 = 1,603.17/x
  3. Step 3: Cross multiply
    2,835.68x = 4,253.54 × 1,603.17
  4. Step 4: Simplify right side
    2,835.68x = 6,819,139.71
  5. Step 5: Solve for x
    x = 6,819,139.71/2,835.68
  6. Step 6: Final answer
    x = 2,404.77

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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.