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Finding the Fourth Proportional to 2,746.17, 4,118.73 and 897.35

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Solution

The fourth proportional to 2,746.17, 4,118.73 and 897.35 is: 1,345.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.17 : 4,118.73 = 897.35 : x
  2. Step 2: Convert to fraction form
    2,746.17/4,118.73 = 897.35/x
  3. Step 3: Cross multiply
    2,746.17x = 4,118.73 × 897.35
  4. Step 4: Simplify right side
    2,746.17x = 3,695,921.77
  5. Step 5: Solve for x
    x = 3,695,921.77/2,746.17
  6. Step 6: Final answer
    x = 1,345.85

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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.