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Finding the Fourth Proportional to 3,107.70, 4,661.19 and 916.38

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Solution

The fourth proportional to 3,107.70, 4,661.19 and 916.38 is: 1,374.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.70 : 4,661.19 = 916.38 : x
  2. Step 2: Convert to fraction form
    3,107.70/4,661.19 = 916.38/x
  3. Step 3: Cross multiply
    3,107.70x = 4,661.19 × 916.38
  4. Step 4: Simplify right side
    3,107.70x = 4,271,421.29
  5. Step 5: Solve for x
    x = 4,271,421.29/3,107.70
  6. Step 6: Final answer
    x = 1,374.46

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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.