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Finding the Fourth Proportional to 1,662.24, 2,492.42 and 566.16

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Solution

The fourth proportional to 1,662.24, 2,492.42 and 566.16 is: 848.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.24 : 2,492.42 = 566.16 : x
  2. Step 2: Convert to fraction form
    1,662.24/2,492.42 = 566.16/x
  3. Step 3: Cross multiply
    1,662.24x = 2,492.42 × 566.16
  4. Step 4: Simplify right side
    1,662.24x = 1,411,108.51
  5. Step 5: Solve for x
    x = 1,411,108.51/1,662.24
  6. Step 6: Final answer
    x = 848.92

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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.