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Finding the Fourth Proportional to 2,101.60, 3,137.05 and 1,807.30

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Solution

The fourth proportional to 2,101.60, 3,137.05 and 1,807.30 is: 2,697.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.60 : 3,137.05 = 1,807.30 : x
  2. Step 2: Convert to fraction form
    2,101.60/3,137.05 = 1,807.30/x
  3. Step 3: Cross multiply
    2,101.60x = 3,137.05 × 1,807.30
  4. Step 4: Simplify right side
    2,101.60x = 5,669,590.47
  5. Step 5: Solve for x
    x = 5,669,590.47/2,101.60
  6. Step 6: Final answer
    x = 2,697.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.