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Finding the Fourth Proportional to 2,509.35, 3,462.86 and 1,390.29

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Solution

The fourth proportional to 2,509.35, 3,462.86 and 1,390.29 is: 1,918.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.35 : 3,462.86 = 1,390.29 : x
  2. Step 2: Convert to fraction form
    2,509.35/3,462.86 = 1,390.29/x
  3. Step 3: Cross multiply
    2,509.35x = 3,462.86 × 1,390.29
  4. Step 4: Simplify right side
    2,509.35x = 4,814,379.63
  5. Step 5: Solve for x
    x = 4,814,379.63/2,509.35
  6. Step 6: Final answer
    x = 1,918.58

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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.