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Finding the Fourth Proportional to 2,976.89, 4,465.04 and 897.35

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Solution

The fourth proportional to 2,976.89, 4,465.04 and 897.35 is: 1,345.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.89 : 4,465.04 = 897.35 : x
  2. Step 2: Convert to fraction form
    2,976.89/4,465.04 = 897.35/x
  3. Step 3: Cross multiply
    2,976.89x = 4,465.04 × 897.35
  4. Step 4: Simplify right side
    2,976.89x = 4,006,676.83
  5. Step 5: Solve for x
    x = 4,006,676.83/2,976.89
  6. Step 6: Final answer
    x = 1,345.93

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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.