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Finding the Fourth Proportional to 2,714.55, 3,746.71 and 1,536.00

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Solution

The fourth proportional to 2,714.55, 3,746.71 and 1,536.00 is: 2,120.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.55 : 3,746.71 = 1,536.00 : x
  2. Step 2: Convert to fraction form
    2,714.55/3,746.71 = 1,536.00/x
  3. Step 3: Cross multiply
    2,714.55x = 3,746.71 × 1,536.00
  4. Step 4: Simplify right side
    2,714.55x = 5,754,925.79
  5. Step 5: Solve for x
    x = 5,754,925.79/2,714.55
  6. Step 6: Final answer
    x = 2,120.03

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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.