Home / 2,946.54-4,418.67-972.10

Finding the Fourth Proportional to 2,946.54, 4,418.67 and 972.10

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Solution

The fourth proportional to 2,946.54, 4,418.67 and 972.10 is: 1,457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.54 : 4,418.67 = 972.10 : x
  2. Step 2: Convert to fraction form
    2,946.54/4,418.67 = 972.10/x
  3. Step 3: Cross multiply
    2,946.54x = 4,418.67 × 972.10
  4. Step 4: Simplify right side
    2,946.54x = 4,295,367.01
  5. Step 5: Solve for x
    x = 4,295,367.01/2,946.54
  6. Step 6: Final answer
    x = 1,457.77

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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.