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Finding the Fourth Proportional to 2,095.41, 3,143.36 and 924.91

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Solution

The fourth proportional to 2,095.41, 3,143.36 and 924.91 is: 1,387.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.41 : 3,143.36 = 924.91 : x
  2. Step 2: Convert to fraction form
    2,095.41/3,143.36 = 924.91/x
  3. Step 3: Cross multiply
    2,095.41x = 3,143.36 × 924.91
  4. Step 4: Simplify right side
    2,095.41x = 2,907,325.10
  5. Step 5: Solve for x
    x = 2,907,325.10/2,095.41
  6. Step 6: Final answer
    x = 1,387.47

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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.