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Finding the Fourth Proportional to 1,646.93, 2,482.85 and 1,557.63

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Solution

The fourth proportional to 1,646.93, 2,482.85 and 1,557.63 is: 2,348.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.93 : 2,482.85 = 1,557.63 : x
  2. Step 2: Convert to fraction form
    1,646.93/2,482.85 = 1,557.63/x
  3. Step 3: Cross multiply
    1,646.93x = 2,482.85 × 1,557.63
  4. Step 4: Simplify right side
    1,646.93x = 3,867,365.54
  5. Step 5: Solve for x
    x = 3,867,365.54/1,646.93
  6. Step 6: Final answer
    x = 2,348.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.