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Finding the Fourth Proportional to 2,607.57, 3,907.98 and 1,989

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Solution

The fourth proportional to 2,607.57, 3,907.98 and 1,989 is: 2,980.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.57 : 3,907.98 = 1,989 : x
  2. Step 2: Convert to fraction form
    2,607.57/3,907.98 = 1,989/x
  3. Step 3: Cross multiply
    2,607.57x = 3,907.98 × 1,989
  4. Step 4: Simplify right side
    2,607.57x = 7,772,972.22
  5. Step 5: Solve for x
    x = 7,772,972.22/2,607.57
  6. Step 6: Final answer
    x = 2,980.93

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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.