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Finding the Fourth Proportional to 2,870.58, 4,303.44 and 1,138.26

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Solution

The fourth proportional to 2,870.58, 4,303.44 and 1,138.26 is: 1,706.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.58 : 4,303.44 = 1,138.26 : x
  2. Step 2: Convert to fraction form
    2,870.58/4,303.44 = 1,138.26/x
  3. Step 3: Cross multiply
    2,870.58x = 4,303.44 × 1,138.26
  4. Step 4: Simplify right side
    2,870.58x = 4,898,433.61
  5. Step 5: Solve for x
    x = 4,898,433.61/2,870.58
  6. Step 6: Final answer
    x = 1,706.43

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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.