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Finding the Fourth Proportional to 1,783.96, 2,462.27 and 1,038.02

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Solution

The fourth proportional to 1,783.96, 2,462.27 and 1,038.02 is: 1,432.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.96 : 2,462.27 = 1,038.02 : x
  2. Step 2: Convert to fraction form
    1,783.96/2,462.27 = 1,038.02/x
  3. Step 3: Cross multiply
    1,783.96x = 2,462.27 × 1,038.02
  4. Step 4: Simplify right side
    1,783.96x = 2,555,868.00
  5. Step 5: Solve for x
    x = 2,555,868.00/1,783.96
  6. Step 6: Final answer
    x = 1,432.70

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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.