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Finding the Fourth Proportional to 3,442.14, 4,750.14 and 1,870.23

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Solution

The fourth proportional to 3,442.14, 4,750.14 and 1,870.23 is: 2,580.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.14 : 4,750.14 = 1,870.23 : x
  2. Step 2: Convert to fraction form
    3,442.14/4,750.14 = 1,870.23/x
  3. Step 3: Cross multiply
    3,442.14x = 4,750.14 × 1,870.23
  4. Step 4: Simplify right side
    3,442.14x = 8,883,854.33
  5. Step 5: Solve for x
    x = 8,883,854.33/3,442.14
  6. Step 6: Final answer
    x = 2,580.91

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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.