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Finding the Fourth Proportional to 2,014.61, 3,015.95 and 1,496.93

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Solution

The fourth proportional to 2,014.61, 3,015.95 and 1,496.93 is: 2,240.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.61 : 3,015.95 = 1,496.93 : x
  2. Step 2: Convert to fraction form
    2,014.61/3,015.95 = 1,496.93/x
  3. Step 3: Cross multiply
    2,014.61x = 3,015.95 × 1,496.93
  4. Step 4: Simplify right side
    2,014.61x = 4,514,643.47
  5. Step 5: Solve for x
    x = 4,514,643.47/2,014.61
  6. Step 6: Final answer
    x = 2,240.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.