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Finding the Fourth Proportional to 2,714.99, 3,746.54 and 1,536.03

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Solution

The fourth proportional to 2,714.99, 3,746.54 and 1,536.03 is: 2,119.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.99 : 3,746.54 = 1,536.03 : x
  2. Step 2: Convert to fraction form
    2,714.99/3,746.54 = 1,536.03/x
  3. Step 3: Cross multiply
    2,714.99x = 3,746.54 × 1,536.03
  4. Step 4: Simplify right side
    2,714.99x = 5,754,790.16
  5. Step 5: Solve for x
    x = 5,754,790.16/2,714.99
  6. Step 6: Final answer
    x = 2,119.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.