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Finding the Fourth Proportional to 2,046.51, 3,069.77 and 1,005.93

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Solution

The fourth proportional to 2,046.51, 3,069.77 and 1,005.93 is: 1,508.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.51 : 3,069.77 = 1,005.93 : x
  2. Step 2: Convert to fraction form
    2,046.51/3,069.77 = 1,005.93/x
  3. Step 3: Cross multiply
    2,046.51x = 3,069.77 × 1,005.93
  4. Step 4: Simplify right side
    2,046.51x = 3,087,968.71
  5. Step 5: Solve for x
    x = 3,087,968.71/2,046.51
  6. Step 6: Final answer
    x = 1,508.90

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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.