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Finding the Fourth Proportional to 1,661.64, 2,492.24 and 429.06

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Solution

The fourth proportional to 1,661.64, 2,492.24 and 429.06 is: 643.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.64 : 2,492.24 = 429.06 : x
  2. Step 2: Convert to fraction form
    1,661.64/2,492.24 = 429.06/x
  3. Step 3: Cross multiply
    1,661.64x = 2,492.24 × 429.06
  4. Step 4: Simplify right side
    1,661.64x = 1,069,318.35
  5. Step 5: Solve for x
    x = 1,069,318.35/1,661.64
  6. Step 6: Final answer
    x = 643.53

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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.