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Finding the Fourth Proportional to 1,870.64, 2,805.24 and 774.72

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Solution

The fourth proportional to 1,870.64, 2,805.24 and 774.72 is: 1,161.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.64 : 2,805.24 = 774.72 : x
  2. Step 2: Convert to fraction form
    1,870.64/2,805.24 = 774.72/x
  3. Step 3: Cross multiply
    1,870.64x = 2,805.24 × 774.72
  4. Step 4: Simplify right side
    1,870.64x = 2,173,275.53
  5. Step 5: Solve for x
    x = 2,173,275.53/1,870.64
  6. Step 6: Final answer
    x = 1,161.78

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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.