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Finding the Fourth Proportional to 3,135.10, 4,703.19 and 1,287.22

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Solution

The fourth proportional to 3,135.10, 4,703.19 and 1,287.22 is: 1,931.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.10 : 4,703.19 = 1,287.22 : x
  2. Step 2: Convert to fraction form
    3,135.10/4,703.19 = 1,287.22/x
  3. Step 3: Cross multiply
    3,135.10x = 4,703.19 × 1,287.22
  4. Step 4: Simplify right side
    3,135.10x = 6,054,040.23
  5. Step 5: Solve for x
    x = 6,054,040.23/3,135.10
  6. Step 6: Final answer
    x = 1,931.05

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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.