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Finding the Fourth Proportional to 2,078.64, 2,870.46 and 1,553.76

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Solution

The fourth proportional to 2,078.64, 2,870.46 and 1,553.76 is: 2,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.64 : 2,870.46 = 1,553.76 : x
  2. Step 2: Convert to fraction form
    2,078.64/2,870.46 = 1,553.76/x
  3. Step 3: Cross multiply
    2,078.64x = 2,870.46 × 1,553.76
  4. Step 4: Simplify right side
    2,078.64x = 4,460,005.93
  5. Step 5: Solve for x
    x = 4,460,005.93/2,078.64
  6. Step 6: Final answer
    x = 2,145.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.