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Finding the Fourth Proportional to 2,402.95, 3,601.59 and 1,085.17

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Solution

The fourth proportional to 2,402.95, 3,601.59 and 1,085.17 is: 1,626.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.95 : 3,601.59 = 1,085.17 : x
  2. Step 2: Convert to fraction form
    2,402.95/3,601.59 = 1,085.17/x
  3. Step 3: Cross multiply
    2,402.95x = 3,601.59 × 1,085.17
  4. Step 4: Simplify right side
    2,402.95x = 3,908,319.41
  5. Step 5: Solve for x
    x = 3,908,319.41/2,402.95
  6. Step 6: Final answer
    x = 1,626.47

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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.