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Finding the Fourth Proportional to 2,714.90, 3,746.68 and 1,535.94

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Solution

The fourth proportional to 2,714.90, 3,746.68 and 1,535.94 is: 2,119.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.90 : 3,746.68 = 1,535.94 : x
  2. Step 2: Convert to fraction form
    2,714.90/3,746.68 = 1,535.94/x
  3. Step 3: Cross multiply
    2,714.90x = 3,746.68 × 1,535.94
  4. Step 4: Simplify right side
    2,714.90x = 5,754,675.68
  5. Step 5: Solve for x
    x = 5,754,675.68/2,714.90
  6. Step 6: Final answer
    x = 2,119.66

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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.