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Finding the Fourth Proportional to 1,790.62, 2,470.96 and 1,004.64

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Solution

The fourth proportional to 1,790.62, 2,470.96 and 1,004.64 is: 1,386.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.62 : 2,470.96 = 1,004.64 : x
  2. Step 2: Convert to fraction form
    1,790.62/2,470.96 = 1,004.64/x
  3. Step 3: Cross multiply
    1,790.62x = 2,470.96 × 1,004.64
  4. Step 4: Simplify right side
    1,790.62x = 2,482,425.25
  5. Step 5: Solve for x
    x = 2,482,425.25/1,790.62
  6. Step 6: Final answer
    x = 1,386.35

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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.