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Finding the Fourth Proportional to 2,030.40, 3,046.08 and 1,004.16

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Solution

The fourth proportional to 2,030.40, 3,046.08 and 1,004.16 is: 1,506.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.40 : 3,046.08 = 1,004.16 : x
  2. Step 2: Convert to fraction form
    2,030.40/3,046.08 = 1,004.16/x
  3. Step 3: Cross multiply
    2,030.40x = 3,046.08 × 1,004.16
  4. Step 4: Simplify right side
    2,030.40x = 3,058,751.69
  5. Step 5: Solve for x
    x = 3,058,751.69/2,030.40
  6. Step 6: Final answer
    x = 1,506.48

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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.