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Finding the Fourth Proportional to 2,095.08, 3,140.70 and 940

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Solution

The fourth proportional to 2,095.08, 3,140.70 and 940 is: 1,409.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.08 : 3,140.70 = 940 : x
  2. Step 2: Convert to fraction form
    2,095.08/3,140.70 = 940/x
  3. Step 3: Cross multiply
    2,095.08x = 3,140.70 × 940
  4. Step 4: Simplify right side
    2,095.08x = 2,952,258
  5. Step 5: Solve for x
    x = 2,952,258/2,095.08
  6. Step 6: Final answer
    x = 1,409.14

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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.