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Finding the Fourth Proportional to 2,746.23, 4,118.91 and 897.35

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Solution

The fourth proportional to 2,746.23, 4,118.91 and 897.35 is: 1,345.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.23 : 4,118.91 = 897.35 : x
  2. Step 2: Convert to fraction form
    2,746.23/4,118.91 = 897.35/x
  3. Step 3: Cross multiply
    2,746.23x = 4,118.91 × 897.35
  4. Step 4: Simplify right side
    2,746.23x = 3,696,079.93
  5. Step 5: Solve for x
    x = 3,696,079.93/2,746.23
  6. Step 6: Final answer
    x = 1,345.88

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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.