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Finding the Fourth Proportional to 2,411.64, 3,328.08 and 1,416.94

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Solution

The fourth proportional to 2,411.64, 3,328.08 and 1,416.94 is: 1,955.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.64 : 3,328.08 = 1,416.94 : x
  2. Step 2: Convert to fraction form
    2,411.64/3,328.08 = 1,416.94/x
  3. Step 3: Cross multiply
    2,411.64x = 3,328.08 × 1,416.94
  4. Step 4: Simplify right side
    2,411.64x = 4,715,689.68
  5. Step 5: Solve for x
    x = 4,715,689.68/2,411.64
  6. Step 6: Final answer
    x = 1,955.39

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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.