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Finding the Fourth Proportional to 1,410.96, 2,117.84 and 864.24

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Solution

The fourth proportional to 1,410.96, 2,117.84 and 864.24 is: 1,297.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.96 : 2,117.84 = 864.24 : x
  2. Step 2: Convert to fraction form
    1,410.96/2,117.84 = 864.24/x
  3. Step 3: Cross multiply
    1,410.96x = 2,117.84 × 864.24
  4. Step 4: Simplify right side
    1,410.96x = 1,830,322.04
  5. Step 5: Solve for x
    x = 1,830,322.04/1,410.96
  6. Step 6: Final answer
    x = 1,297.22

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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.