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Finding the Fourth Proportional to 2,219.07, 3,059.13 and 1,746.14

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Solution

The fourth proportional to 2,219.07, 3,059.13 and 1,746.14 is: 2,407.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.07 : 3,059.13 = 1,746.14 : x
  2. Step 2: Convert to fraction form
    2,219.07/3,059.13 = 1,746.14/x
  3. Step 3: Cross multiply
    2,219.07x = 3,059.13 × 1,746.14
  4. Step 4: Simplify right side
    2,219.07x = 5,341,676.91
  5. Step 5: Solve for x
    x = 5,341,676.91/2,219.07
  6. Step 6: Final answer
    x = 2,407.17

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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.