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Finding the Fourth Proportional to 2,646.22, 3,970.41 and 916.06

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Solution

The fourth proportional to 2,646.22, 3,970.41 and 916.06 is: 1,374.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.22 : 3,970.41 = 916.06 : x
  2. Step 2: Convert to fraction form
    2,646.22/3,970.41 = 916.06/x
  3. Step 3: Cross multiply
    2,646.22x = 3,970.41 × 916.06
  4. Step 4: Simplify right side
    2,646.22x = 3,637,133.78
  5. Step 5: Solve for x
    x = 3,637,133.78/2,646.22
  6. Step 6: Final answer
    x = 1,374.46

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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.