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Finding the Fourth Proportional to 2,417.18, 3,619.25 and 1,260.50

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Solution

The fourth proportional to 2,417.18, 3,619.25 and 1,260.50 is: 1,887.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.18 : 3,619.25 = 1,260.50 : x
  2. Step 2: Convert to fraction form
    2,417.18/3,619.25 = 1,260.50/x
  3. Step 3: Cross multiply
    2,417.18x = 3,619.25 × 1,260.50
  4. Step 4: Simplify right side
    2,417.18x = 4,562,044.95
  5. Step 5: Solve for x
    x = 4,562,044.95/2,417.18
  6. Step 6: Final answer
    x = 1,887.35

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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.