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Finding the Fourth Proportional to 1,784.58, 2,462.85 and 1,038.57

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Solution

The fourth proportional to 1,784.58, 2,462.85 and 1,038.57 is: 1,433.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.58 : 2,462.85 = 1,038.57 : x
  2. Step 2: Convert to fraction form
    1,784.58/2,462.85 = 1,038.57/x
  3. Step 3: Cross multiply
    1,784.58x = 2,462.85 × 1,038.57
  4. Step 4: Simplify right side
    1,784.58x = 2,557,842.12
  5. Step 5: Solve for x
    x = 2,557,842.12/1,784.58
  6. Step 6: Final answer
    x = 1,433.30

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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.