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Finding the Fourth Proportional to 1,822.95, 2,509.90 and 1,656.65

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Solution

The fourth proportional to 1,822.95, 2,509.90 and 1,656.65 is: 2,280.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.95 : 2,509.90 = 1,656.65 : x
  2. Step 2: Convert to fraction form
    1,822.95/2,509.90 = 1,656.65/x
  3. Step 3: Cross multiply
    1,822.95x = 2,509.90 × 1,656.65
  4. Step 4: Simplify right side
    1,822.95x = 4,158,027.97
  5. Step 5: Solve for x
    x = 4,158,027.97/1,822.95
  6. Step 6: Final answer
    x = 2,280.93

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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.