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Finding the Fourth Proportional to 2,783.57, 4,177.46 and 1,030.23

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Solution

The fourth proportional to 2,783.57, 4,177.46 and 1,030.23 is: 1,546.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.57 : 4,177.46 = 1,030.23 : x
  2. Step 2: Convert to fraction form
    2,783.57/4,177.46 = 1,030.23/x
  3. Step 3: Cross multiply
    2,783.57x = 4,177.46 × 1,030.23
  4. Step 4: Simplify right side
    2,783.57x = 4,303,747.19
  5. Step 5: Solve for x
    x = 4,303,747.19/2,783.57
  6. Step 6: Final answer
    x = 1,546.13

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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.