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Finding the Fourth Proportional to 2,477.44, 3,713.54 and 916.44

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Solution

The fourth proportional to 2,477.44, 3,713.54 and 916.44 is: 1,373.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.44 : 3,713.54 = 916.44 : x
  2. Step 2: Convert to fraction form
    2,477.44/3,713.54 = 916.44/x
  3. Step 3: Cross multiply
    2,477.44x = 3,713.54 × 916.44
  4. Step 4: Simplify right side
    2,477.44x = 3,403,232.02
  5. Step 5: Solve for x
    x = 3,403,232.02/2,477.44
  6. Step 6: Final answer
    x = 1,373.69

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1.5x scale

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.