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Finding the Fourth Proportional to 3,070.31, 4,235.74 and 1,810.86

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Solution

The fourth proportional to 3,070.31, 4,235.74 and 1,810.86 is: 2,498.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.31 : 4,235.74 = 1,810.86 : x
  2. Step 2: Convert to fraction form
    3,070.31/4,235.74 = 1,810.86/x
  3. Step 3: Cross multiply
    3,070.31x = 4,235.74 × 1,810.86
  4. Step 4: Simplify right side
    3,070.31x = 7,670,321.91
  5. Step 5: Solve for x
    x = 7,670,321.91/3,070.31
  6. Step 6: Final answer
    x = 2,498.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.