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Finding the Fourth Proportional to 2,897.94, 4,342.05 and 2,028

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Solution

The fourth proportional to 2,897.94, 4,342.05 and 2,028 is: 3,038.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.94 : 4,342.05 = 2,028 : x
  2. Step 2: Convert to fraction form
    2,897.94/4,342.05 = 2,028/x
  3. Step 3: Cross multiply
    2,897.94x = 4,342.05 × 2,028
  4. Step 4: Simplify right side
    2,897.94x = 8,805,677.40
  5. Step 5: Solve for x
    x = 8,805,677.40/2,897.94
  6. Step 6: Final answer
    x = 3,038.60

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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.