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Finding the Fourth Proportional to 1,870.40, 2,804.57 and 774.15

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Solution

The fourth proportional to 1,870.40, 2,804.57 and 774.15 is: 1,160.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.40 : 2,804.57 = 774.15 : x
  2. Step 2: Convert to fraction form
    1,870.40/2,804.57 = 774.15/x
  3. Step 3: Cross multiply
    1,870.40x = 2,804.57 × 774.15
  4. Step 4: Simplify right side
    1,870.40x = 2,171,157.87
  5. Step 5: Solve for x
    x = 2,171,157.87/1,870.40
  6. Step 6: Final answer
    x = 1,160.80

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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.