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Finding the Fourth Proportional to 2,714.93, 4,071.37 and 1,155.67

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Solution

The fourth proportional to 2,714.93, 4,071.37 and 1,155.67 is: 1,733.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.93 : 4,071.37 = 1,155.67 : x
  2. Step 2: Convert to fraction form
    2,714.93/4,071.37 = 1,155.67/x
  3. Step 3: Cross multiply
    2,714.93x = 4,071.37 × 1,155.67
  4. Step 4: Simplify right side
    2,714.93x = 4,705,160.17
  5. Step 5: Solve for x
    x = 4,705,160.17/2,714.93
  6. Step 6: Final answer
    x = 1,733.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.