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Finding the Fourth Proportional to 1,952.17, 2,925.82 and 910.81

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Solution

The fourth proportional to 1,952.17, 2,925.82 and 910.81 is: 1,365.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.17 : 2,925.82 = 910.81 : x
  2. Step 2: Convert to fraction form
    1,952.17/2,925.82 = 910.81/x
  3. Step 3: Cross multiply
    1,952.17x = 2,925.82 × 910.81
  4. Step 4: Simplify right side
    1,952.17x = 2,664,870.91
  5. Step 5: Solve for x
    x = 2,664,870.91/1,952.17
  6. Step 6: Final answer
    x = 1,365.08

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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.