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Finding the Fourth Proportional to 2,495.86, 3,746.09 and 1,264.14

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Solution

The fourth proportional to 2,495.86, 3,746.09 and 1,264.14 is: 1,897.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.86 : 3,746.09 = 1,264.14 : x
  2. Step 2: Convert to fraction form
    2,495.86/3,746.09 = 1,264.14/x
  3. Step 3: Cross multiply
    2,495.86x = 3,746.09 × 1,264.14
  4. Step 4: Simplify right side
    2,495.86x = 4,735,582.21
  5. Step 5: Solve for x
    x = 4,735,582.21/2,495.86
  6. Step 6: Final answer
    x = 1,897.37

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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.