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Finding the Fourth Proportional to 1,952.91, 2,927.21 and 924.75

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Solution

The fourth proportional to 1,952.91, 2,927.21 and 924.75 is: 1,386.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.91 : 2,927.21 = 924.75 : x
  2. Step 2: Convert to fraction form
    1,952.91/2,927.21 = 924.75/x
  3. Step 3: Cross multiply
    1,952.91x = 2,927.21 × 924.75
  4. Step 4: Simplify right side
    1,952.91x = 2,706,932.82
  5. Step 5: Solve for x
    x = 2,706,932.82/1,952.91
  6. Step 6: Final answer
    x = 1,386.10

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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.