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Finding the Fourth Proportional to 1,410.16, 2,115.24 and 1,024.24

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Solution

The fourth proportional to 1,410.16, 2,115.24 and 1,024.24 is: 1,536.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.16 : 2,115.24 = 1,024.24 : x
  2. Step 2: Convert to fraction form
    1,410.16/2,115.24 = 1,024.24/x
  3. Step 3: Cross multiply
    1,410.16x = 2,115.24 × 1,024.24
  4. Step 4: Simplify right side
    1,410.16x = 2,166,513.42
  5. Step 5: Solve for x
    x = 2,166,513.42/1,410.16
  6. Step 6: Final answer
    x = 1,536.36

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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.