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Finding the Fourth Proportional to 3,390.02, 4,678.14 and 1,897.84

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Solution

The fourth proportional to 3,390.02, 4,678.14 and 1,897.84 is: 2,618.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.02 : 4,678.14 = 1,897.84 : x
  2. Step 2: Convert to fraction form
    3,390.02/4,678.14 = 1,897.84/x
  3. Step 3: Cross multiply
    3,390.02x = 4,678.14 × 1,897.84
  4. Step 4: Simplify right side
    3,390.02x = 8,878,361.22
  5. Step 5: Solve for x
    x = 8,878,361.22/3,390.02
  6. Step 6: Final answer
    x = 2,618.97

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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.