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Finding the Fourth Proportional to 2,130.99, 3,193.23 and 897.74

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Solution

The fourth proportional to 2,130.99, 3,193.23 and 897.74 is: 1,345.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.99 : 3,193.23 = 897.74 : x
  2. Step 2: Convert to fraction form
    2,130.99/3,193.23 = 897.74/x
  3. Step 3: Cross multiply
    2,130.99x = 3,193.23 × 897.74
  4. Step 4: Simplify right side
    2,130.99x = 2,866,674.33
  5. Step 5: Solve for x
    x = 2,866,674.33/2,130.99
  6. Step 6: Final answer
    x = 1,345.23

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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.