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Finding the Fourth Proportional to 1,602.96, 2,404.72 and 910.98

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Solution

The fourth proportional to 1,602.96, 2,404.72 and 910.98 is: 1,366.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.96 : 2,404.72 = 910.98 : x
  2. Step 2: Convert to fraction form
    1,602.96/2,404.72 = 910.98/x
  3. Step 3: Cross multiply
    1,602.96x = 2,404.72 × 910.98
  4. Step 4: Simplify right side
    1,602.96x = 2,190,651.83
  5. Step 5: Solve for x
    x = 2,190,651.83/1,602.96
  6. Step 6: Final answer
    x = 1,366.63

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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.