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Finding the Fourth Proportional to 2,924.23, 4,383.55 and 975.07

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Solution

The fourth proportional to 2,924.23, 4,383.55 and 975.07 is: 1,461.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.23 : 4,383.55 = 975.07 : x
  2. Step 2: Convert to fraction form
    2,924.23/4,383.55 = 975.07/x
  3. Step 3: Cross multiply
    2,924.23x = 4,383.55 × 975.07
  4. Step 4: Simplify right side
    2,924.23x = 4,274,268.10
  5. Step 5: Solve for x
    x = 4,274,268.10/2,924.23
  6. Step 6: Final answer
    x = 1,461.67

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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.