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Finding the Fourth Proportional to 2,386.93, 3,581.63 and 1,734.19

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Solution

The fourth proportional to 2,386.93, 3,581.63 and 1,734.19 is: 2,602.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.93 : 3,581.63 = 1,734.19 : x
  2. Step 2: Convert to fraction form
    2,386.93/3,581.63 = 1,734.19/x
  3. Step 3: Cross multiply
    2,386.93x = 3,581.63 × 1,734.19
  4. Step 4: Simplify right side
    2,386.93x = 6,211,200.35
  5. Step 5: Solve for x
    x = 6,211,200.35/2,386.93
  6. Step 6: Final answer
    x = 2,602.18

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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.