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Finding the Fourth Proportional to 3,059.22, 4,222 and 1,880.76

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Solution

The fourth proportional to 3,059.22, 4,222 and 1,880.76 is: 2,595.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.22 : 4,222 = 1,880.76 : x
  2. Step 2: Convert to fraction form
    3,059.22/4,222 = 1,880.76/x
  3. Step 3: Cross multiply
    3,059.22x = 4,222 × 1,880.76
  4. Step 4: Simplify right side
    3,059.22x = 7,940,547.61
  5. Step 5: Solve for x
    x = 7,940,547.61/3,059.22
  6. Step 6: Final answer
    x = 2,595.62

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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.