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Finding the Fourth Proportional to 1,714.96, 2,370.28 and 1,512.72

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Solution

The fourth proportional to 1,714.96, 2,370.28 and 1,512.72 is: 2,090.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.96 : 2,370.28 = 1,512.72 : x
  2. Step 2: Convert to fraction form
    1,714.96/2,370.28 = 1,512.72/x
  3. Step 3: Cross multiply
    1,714.96x = 2,370.28 × 1,512.72
  4. Step 4: Simplify right side
    1,714.96x = 3,585,569.96
  5. Step 5: Solve for x
    x = 3,585,569.96/1,714.96
  6. Step 6: Final answer
    x = 2,090.76

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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.