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Finding the Fourth Proportional to 2,032.66, 2,807.13 and 1,697.77

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Solution

The fourth proportional to 2,032.66, 2,807.13 and 1,697.77 is: 2,344.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.66 : 2,807.13 = 1,697.77 : x
  2. Step 2: Convert to fraction form
    2,032.66/2,807.13 = 1,697.77/x
  3. Step 3: Cross multiply
    2,032.66x = 2,807.13 × 1,697.77
  4. Step 4: Simplify right side
    2,032.66x = 4,765,861.10
  5. Step 5: Solve for x
    x = 4,765,861.10/2,032.66
  6. Step 6: Final answer
    x = 2,344.64

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Why These Related Problems?

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