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Finding the Fourth Proportional to 2,237.88, 3,089.10 and 1,307.16

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Solution

The fourth proportional to 2,237.88, 3,089.10 and 1,307.16 is: 1,804.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.88 : 3,089.10 = 1,307.16 : x
  2. Step 2: Convert to fraction form
    2,237.88/3,089.10 = 1,307.16/x
  3. Step 3: Cross multiply
    2,237.88x = 3,089.10 × 1,307.16
  4. Step 4: Simplify right side
    2,237.88x = 4,037,947.96
  5. Step 5: Solve for x
    x = 4,037,947.96/2,237.88
  6. Step 6: Final answer
    x = 1,804.36

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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.