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Finding the Fourth Proportional to 1,509.69, 2,260.86 and 1,046.16

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Solution

The fourth proportional to 1,509.69, 2,260.86 and 1,046.16 is: 1,566.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.69 : 2,260.86 = 1,046.16 : x
  2. Step 2: Convert to fraction form
    1,509.69/2,260.86 = 1,046.16/x
  3. Step 3: Cross multiply
    1,509.69x = 2,260.86 × 1,046.16
  4. Step 4: Simplify right side
    1,509.69x = 2,365,221.30
  5. Step 5: Solve for x
    x = 2,365,221.30/1,509.69
  6. Step 6: Final answer
    x = 1,566.69

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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.