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Finding the Fourth Proportional to 1,835.34, 2,532.78 and 1,038.71

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Solution

The fourth proportional to 1,835.34, 2,532.78 and 1,038.71 is: 1,433.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.34 : 2,532.78 = 1,038.71 : x
  2. Step 2: Convert to fraction form
    1,835.34/2,532.78 = 1,038.71/x
  3. Step 3: Cross multiply
    1,835.34x = 2,532.78 × 1,038.71
  4. Step 4: Simplify right side
    1,835.34x = 2,630,811.25
  5. Step 5: Solve for x
    x = 2,630,811.25/1,835.34
  6. Step 6: Final answer
    x = 1,433.42

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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.