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Finding the Fourth Proportional to 1,495.75, 2,064.15 and 906.28

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Solution

The fourth proportional to 1,495.75, 2,064.15 and 906.28 is: 1,250.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.75 : 2,064.15 = 906.28 : x
  2. Step 2: Convert to fraction form
    1,495.75/2,064.15 = 906.28/x
  3. Step 3: Cross multiply
    1,495.75x = 2,064.15 × 906.28
  4. Step 4: Simplify right side
    1,495.75x = 1,870,697.86
  5. Step 5: Solve for x
    x = 1,870,697.86/1,495.75
  6. Step 6: Final answer
    x = 1,250.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.