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Finding the Fourth Proportional to 2,033.52, 2,808.24 and 1,477.20

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Solution

The fourth proportional to 2,033.52, 2,808.24 and 1,477.20 is: 2,039.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.52 : 2,808.24 = 1,477.20 : x
  2. Step 2: Convert to fraction form
    2,033.52/2,808.24 = 1,477.20/x
  3. Step 3: Cross multiply
    2,033.52x = 2,808.24 × 1,477.20
  4. Step 4: Simplify right side
    2,033.52x = 4,148,332.13
  5. Step 5: Solve for x
    x = 4,148,332.13/2,033.52
  6. Step 6: Final answer
    x = 2,039.98

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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.