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Finding the Fourth Proportional to 1,870.85, 2,804.73 and 776.00

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Solution

The fourth proportional to 1,870.85, 2,804.73 and 776.00 is: 1,163.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.85 : 2,804.73 = 776.00 : x
  2. Step 2: Convert to fraction form
    1,870.85/2,804.73 = 776.00/x
  3. Step 3: Cross multiply
    1,870.85x = 2,804.73 × 776.00
  4. Step 4: Simplify right side
    1,870.85x = 2,176,456.46
  5. Step 5: Solve for x
    x = 2,176,456.46/1,870.85
  6. Step 6: Final answer
    x = 1,163.35

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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.