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Finding the Fourth Proportional to 2,977.90, 4,467.45 and 898.02

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Solution

The fourth proportional to 2,977.90, 4,467.45 and 898.02 is: 1,347.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.90 : 4,467.45 = 898.02 : x
  2. Step 2: Convert to fraction form
    2,977.90/4,467.45 = 898.02/x
  3. Step 3: Cross multiply
    2,977.90x = 4,467.45 × 898.02
  4. Step 4: Simplify right side
    2,977.90x = 4,011,862.82
  5. Step 5: Solve for x
    x = 4,011,862.82/2,977.90
  6. Step 6: Final answer
    x = 1,347.21

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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.