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Finding the Fourth Proportional to 2,746.05, 4,118.65 and 897.15

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Solution

The fourth proportional to 2,746.05, 4,118.65 and 897.15 is: 1,345.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.05 : 4,118.65 = 897.15 : x
  2. Step 2: Convert to fraction form
    2,746.05/4,118.65 = 897.15/x
  3. Step 3: Cross multiply
    2,746.05x = 4,118.65 × 897.15
  4. Step 4: Simplify right side
    2,746.05x = 3,695,064.34
  5. Step 5: Solve for x
    x = 3,695,064.34/2,746.05
  6. Step 6: Final answer
    x = 1,345.59

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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.