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Finding the Fourth Proportional to 2,564.42, 3,539.12 and 1,570.32

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Solution

The fourth proportional to 2,564.42, 3,539.12 and 1,570.32 is: 2,167.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.42 : 3,539.12 = 1,570.32 : x
  2. Step 2: Convert to fraction form
    2,564.42/3,539.12 = 1,570.32/x
  3. Step 3: Cross multiply
    2,564.42x = 3,539.12 × 1,570.32
  4. Step 4: Simplify right side
    2,564.42x = 5,557,543.07
  5. Step 5: Solve for x
    x = 5,557,543.07/2,564.42
  6. Step 6: Final answer
    x = 2,167.18

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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.