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Finding the Fourth Proportional to 2,828.97, 3,903.98 and 1,570.22

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Solution

The fourth proportional to 2,828.97, 3,903.98 and 1,570.22 is: 2,166.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.97 : 3,903.98 = 1,570.22 : x
  2. Step 2: Convert to fraction form
    2,828.97/3,903.98 = 1,570.22/x
  3. Step 3: Cross multiply
    2,828.97x = 3,903.98 × 1,570.22
  4. Step 4: Simplify right side
    2,828.97x = 6,130,080.10
  5. Step 5: Solve for x
    x = 6,130,080.10/2,828.97
  6. Step 6: Final answer
    x = 2,166.89

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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.