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Finding the Fourth Proportional to 2,977.24, 4,466.10 and 897.08

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Solution

The fourth proportional to 2,977.24, 4,466.10 and 897.08 is: 1,345.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.24 : 4,466.10 = 897.08 : x
  2. Step 2: Convert to fraction form
    2,977.24/4,466.10 = 897.08/x
  3. Step 3: Cross multiply
    2,977.24x = 4,466.10 × 897.08
  4. Step 4: Simplify right side
    2,977.24x = 4,006,448.99
  5. Step 5: Solve for x
    x = 4,006,448.99/2,977.24
  6. Step 6: Final answer
    x = 1,345.69

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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.