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Finding the Fourth Proportional to 2,144.95, 2,957.28 and 1,702.07

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Solution

The fourth proportional to 2,144.95, 2,957.28 and 1,702.07 is: 2,346.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.95 : 2,957.28 = 1,702.07 : x
  2. Step 2: Convert to fraction form
    2,144.95/2,957.28 = 1,702.07/x
  3. Step 3: Cross multiply
    2,144.95x = 2,957.28 × 1,702.07
  4. Step 4: Simplify right side
    2,144.95x = 5,033,497.57
  5. Step 5: Solve for x
    x = 5,033,497.57/2,144.95
  6. Step 6: Final answer
    x = 2,346.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.