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Finding the Fourth Proportional to 2,564.81, 3,537.68 and 1,570.58

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Solution

The fourth proportional to 2,564.81, 3,537.68 and 1,570.58 is: 2,166.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.81 : 3,537.68 = 1,570.58 : x
  2. Step 2: Convert to fraction form
    2,564.81/3,537.68 = 1,570.58/x
  3. Step 3: Cross multiply
    2,564.81x = 3,537.68 × 1,570.58
  4. Step 4: Simplify right side
    2,564.81x = 5,556,201.60
  5. Step 5: Solve for x
    x = 5,556,201.60/2,564.81
  6. Step 6: Final answer
    x = 2,166.32

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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.