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Finding the Fourth Proportional to 2,050.64, 2,830.13 and 1,295.52

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Solution

The fourth proportional to 2,050.64, 2,830.13 and 1,295.52 is: 1,787.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.64 : 2,830.13 = 1,295.52 : x
  2. Step 2: Convert to fraction form
    2,050.64/2,830.13 = 1,295.52/x
  3. Step 3: Cross multiply
    2,050.64x = 2,830.13 × 1,295.52
  4. Step 4: Simplify right side
    2,050.64x = 3,666,475.87
  5. Step 5: Solve for x
    x = 3,666,475.87/2,050.64
  6. Step 6: Final answer
    x = 1,787.97

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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.