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Finding the Fourth Proportional to 2,783.34, 4,177.12 and 1,030

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Solution

The fourth proportional to 2,783.34, 4,177.12 and 1,030 is: 1,545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.34 : 4,177.12 = 1,030 : x
  2. Step 2: Convert to fraction form
    2,783.34/4,177.12 = 1,030/x
  3. Step 3: Cross multiply
    2,783.34x = 4,177.12 × 1,030
  4. Step 4: Simplify right side
    2,783.34x = 4,302,433.60
  5. Step 5: Solve for x
    x = 4,302,433.60/2,783.34
  6. Step 6: Final answer
    x = 1,545.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.