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Finding the Fourth Proportional to 2,476.63, 3,713.99 and 916.26

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Solution

The fourth proportional to 2,476.63, 3,713.99 and 916.26 is: 1,374.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.63 : 3,713.99 = 916.26 : x
  2. Step 2: Convert to fraction form
    2,476.63/3,713.99 = 916.26/x
  3. Step 3: Cross multiply
    2,476.63x = 3,713.99 × 916.26
  4. Step 4: Simplify right side
    2,476.63x = 3,402,980.48
  5. Step 5: Solve for x
    x = 3,402,980.48/2,476.63
  6. Step 6: Final answer
    x = 1,374.04

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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.