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Finding the Fourth Proportional to 1,807.20, 2,493.64 and 1,061

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Solution

The fourth proportional to 1,807.20, 2,493.64 and 1,061 is: 1,464.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.20 : 2,493.64 = 1,061 : x
  2. Step 2: Convert to fraction form
    1,807.20/2,493.64 = 1,061/x
  3. Step 3: Cross multiply
    1,807.20x = 2,493.64 × 1,061
  4. Step 4: Simplify right side
    1,807.20x = 2,645,752.04
  5. Step 5: Solve for x
    x = 2,645,752.04/1,807.20
  6. Step 6: Final answer
    x = 1,464.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.