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Finding the Fourth Proportional to 2,030.63, 2,801.72 and 1,366.31

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Solution

The fourth proportional to 2,030.63, 2,801.72 and 1,366.31 is: 1,885.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.63 : 2,801.72 = 1,366.31 : x
  2. Step 2: Convert to fraction form
    2,030.63/2,801.72 = 1,366.31/x
  3. Step 3: Cross multiply
    2,030.63x = 2,801.72 × 1,366.31
  4. Step 4: Simplify right side
    2,030.63x = 3,828,028.47
  5. Step 5: Solve for x
    x = 3,828,028.47/2,030.63
  6. Step 6: Final answer
    x = 1,885.15

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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.