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Finding the Fourth Proportional to 1,923.83, 2,885.55 and 537.06

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Solution

The fourth proportional to 1,923.83, 2,885.55 and 537.06 is: 805.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.83 : 2,885.55 = 537.06 : x
  2. Step 2: Convert to fraction form
    1,923.83/2,885.55 = 537.06/x
  3. Step 3: Cross multiply
    1,923.83x = 2,885.55 × 537.06
  4. Step 4: Simplify right side
    1,923.83x = 1,549,713.48
  5. Step 5: Solve for x
    x = 1,549,713.48/1,923.83
  6. Step 6: Final answer
    x = 805.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.