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Finding the Fourth Proportional to 2,417.64, 3,336.30 and 1,369.68

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Solution

The fourth proportional to 2,417.64, 3,336.30 and 1,369.68 is: 1,890.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.64 : 3,336.30 = 1,369.68 : x
  2. Step 2: Convert to fraction form
    2,417.64/3,336.30 = 1,369.68/x
  3. Step 3: Cross multiply
    2,417.64x = 3,336.30 × 1,369.68
  4. Step 4: Simplify right side
    2,417.64x = 4,569,663.38
  5. Step 5: Solve for x
    x = 4,569,663.38/2,417.64
  6. Step 6: Final answer
    x = 1,890.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.