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Finding the Fourth Proportional to 2,702.41, 4,053.98 and 1,203.10

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Solution

The fourth proportional to 2,702.41, 4,053.98 and 1,203.10 is: 1,804.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.41 : 4,053.98 = 1,203.10 : x
  2. Step 2: Convert to fraction form
    2,702.41/4,053.98 = 1,203.10/x
  3. Step 3: Cross multiply
    2,702.41x = 4,053.98 × 1,203.10
  4. Step 4: Simplify right side
    2,702.41x = 4,877,343.34
  5. Step 5: Solve for x
    x = 4,877,343.34/2,702.41
  6. Step 6: Final answer
    x = 1,804.81

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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.