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Finding the Fourth Proportional to 2,924.22, 4,384.98 and 975.90

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Solution

The fourth proportional to 2,924.22, 4,384.98 and 975.90 is: 1,463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.22 : 4,384.98 = 975.90 : x
  2. Step 2: Convert to fraction form
    2,924.22/4,384.98 = 975.90/x
  3. Step 3: Cross multiply
    2,924.22x = 4,384.98 × 975.90
  4. Step 4: Simplify right side
    2,924.22x = 4,279,301.98
  5. Step 5: Solve for x
    x = 4,279,301.98/2,924.22
  6. Step 6: Final answer
    x = 1,463.40

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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.