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Finding the Fourth Proportional to 1,775.66, 2,659.61 and 1,464.01

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Solution

The fourth proportional to 1,775.66, 2,659.61 and 1,464.01 is: 2,192.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.66 : 2,659.61 = 1,464.01 : x
  2. Step 2: Convert to fraction form
    1,775.66/2,659.61 = 1,464.01/x
  3. Step 3: Cross multiply
    1,775.66x = 2,659.61 × 1,464.01
  4. Step 4: Simplify right side
    1,775.66x = 3,893,695.64
  5. Step 5: Solve for x
    x = 3,893,695.64/1,775.66
  6. Step 6: Final answer
    x = 2,192.82

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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.