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Finding the Fourth Proportional to 1,492.26, 2,239.12 and 602.76

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Solution

The fourth proportional to 1,492.26, 2,239.12 and 602.76 is: 904.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.26 : 2,239.12 = 602.76 : x
  2. Step 2: Convert to fraction form
    1,492.26/2,239.12 = 602.76/x
  3. Step 3: Cross multiply
    1,492.26x = 2,239.12 × 602.76
  4. Step 4: Simplify right side
    1,492.26x = 1,349,658.86
  5. Step 5: Solve for x
    x = 1,349,658.86/1,492.26
  6. Step 6: Final answer
    x = 904.44

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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.