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Finding the Fourth Proportional to 2,130.48, 3,196.32 and 897.28

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Solution

The fourth proportional to 2,130.48, 3,196.32 and 897.28 is: 1,346.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.48 : 3,196.32 = 897.28 : x
  2. Step 2: Convert to fraction form
    2,130.48/3,196.32 = 897.28/x
  3. Step 3: Cross multiply
    2,130.48x = 3,196.32 × 897.28
  4. Step 4: Simplify right side
    2,130.48x = 2,867,994.01
  5. Step 5: Solve for x
    x = 2,867,994.01/2,130.48
  6. Step 6: Final answer
    x = 1,346.17

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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.