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Finding the Fourth Proportional to 1,651.47, 2,477.77 and 1,034.44

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Solution

The fourth proportional to 1,651.47, 2,477.77 and 1,034.44 is: 1,552.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.47 : 2,477.77 = 1,034.44 : x
  2. Step 2: Convert to fraction form
    1,651.47/2,477.77 = 1,034.44/x
  3. Step 3: Cross multiply
    1,651.47x = 2,477.77 × 1,034.44
  4. Step 4: Simplify right side
    1,651.47x = 2,563,104.40
  5. Step 5: Solve for x
    x = 2,563,104.40/1,651.47
  6. Step 6: Final answer
    x = 1,552.01

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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.