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Finding the Fourth Proportional to 1,807.08, 2,710.11 and 767.04

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Solution

The fourth proportional to 1,807.08, 2,710.11 and 767.04 is: 1,150.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.08 : 2,710.11 = 767.04 : x
  2. Step 2: Convert to fraction form
    1,807.08/2,710.11 = 767.04/x
  3. Step 3: Cross multiply
    1,807.08x = 2,710.11 × 767.04
  4. Step 4: Simplify right side
    1,807.08x = 2,078,762.77
  5. Step 5: Solve for x
    x = 2,078,762.77/1,807.08
  6. Step 6: Final answer
    x = 1,150.34

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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.