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Finding the Fourth Proportional to 1,924.96, 2,657.72 and 1,482.08

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Solution

The fourth proportional to 1,924.96, 2,657.72 and 1,482.08 is: 2,046.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.96 : 2,657.72 = 1,482.08 : x
  2. Step 2: Convert to fraction form
    1,924.96/2,657.72 = 1,482.08/x
  3. Step 3: Cross multiply
    1,924.96x = 2,657.72 × 1,482.08
  4. Step 4: Simplify right side
    1,924.96x = 3,938,953.66
  5. Step 5: Solve for x
    x = 3,938,953.66/1,924.96
  6. Step 6: Final answer
    x = 2,046.25

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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.