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Finding the Fourth Proportional to 2,603.40, 3,905.55 and 1,143.57

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Solution

The fourth proportional to 2,603.40, 3,905.55 and 1,143.57 is: 1,715.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.40 : 3,905.55 = 1,143.57 : x
  2. Step 2: Convert to fraction form
    2,603.40/3,905.55 = 1,143.57/x
  3. Step 3: Cross multiply
    2,603.40x = 3,905.55 × 1,143.57
  4. Step 4: Simplify right side
    2,603.40x = 4,466,269.81
  5. Step 5: Solve for x
    x = 4,466,269.81/2,603.40
  6. Step 6: Final answer
    x = 1,715.55

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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.