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Finding the Fourth Proportional to 2,002.51, 2,999.71 and 1,030.51

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Solution

The fourth proportional to 2,002.51, 2,999.71 and 1,030.51 is: 1,543.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.51 : 2,999.71 = 1,030.51 : x
  2. Step 2: Convert to fraction form
    2,002.51/2,999.71 = 1,030.51/x
  3. Step 3: Cross multiply
    2,002.51x = 2,999.71 × 1,030.51
  4. Step 4: Simplify right side
    2,002.51x = 3,091,231.15
  5. Step 5: Solve for x
    x = 3,091,231.15/2,002.51
  6. Step 6: Final answer
    x = 1,543.68

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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.