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Finding the Fourth Proportional to 1,924.98, 2,657.70 and 1,482.06

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Solution

The fourth proportional to 1,924.98, 2,657.70 and 1,482.06 is: 2,046.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.98 : 2,657.70 = 1,482.06 : x
  2. Step 2: Convert to fraction form
    1,924.98/2,657.70 = 1,482.06/x
  3. Step 3: Cross multiply
    1,924.98x = 2,657.70 × 1,482.06
  4. Step 4: Simplify right side
    1,924.98x = 3,938,870.86
  5. Step 5: Solve for x
    x = 3,938,870.86/1,924.98
  6. Step 6: Final answer
    x = 2,046.19

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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.