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Finding the Fourth Proportional to 1,924.79, 2,656.10 and 1,085.49

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Solution

The fourth proportional to 1,924.79, 2,656.10 and 1,085.49 is: 1,497.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.79 : 2,656.10 = 1,085.49 : x
  2. Step 2: Convert to fraction form
    1,924.79/2,656.10 = 1,085.49/x
  3. Step 3: Cross multiply
    1,924.79x = 2,656.10 × 1,085.49
  4. Step 4: Simplify right side
    1,924.79x = 2,883,172.70
  5. Step 5: Solve for x
    x = 2,883,172.70/1,924.79
  6. Step 6: Final answer
    x = 1,497.92

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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.