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Finding the Fourth Proportional to 2,870.52, 4,299.96 and 1,697.64

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Solution

The fourth proportional to 2,870.52, 4,299.96 and 1,697.64 is: 2,543.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.52 : 4,299.96 = 1,697.64 : x
  2. Step 2: Convert to fraction form
    2,870.52/4,299.96 = 1,697.64/x
  3. Step 3: Cross multiply
    2,870.52x = 4,299.96 × 1,697.64
  4. Step 4: Simplify right side
    2,870.52x = 7,299,784.09
  5. Step 5: Solve for x
    x = 7,299,784.09/2,870.52
  6. Step 6: Final answer
    x = 2,543.02

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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.