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Finding the Fourth Proportional to 1,764.90, 2,645.73 and 1,570.50

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Solution

The fourth proportional to 1,764.90, 2,645.73 and 1,570.50 is: 2,354.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.90 : 2,645.73 = 1,570.50 : x
  2. Step 2: Convert to fraction form
    1,764.90/2,645.73 = 1,570.50/x
  3. Step 3: Cross multiply
    1,764.90x = 2,645.73 × 1,570.50
  4. Step 4: Simplify right side
    1,764.90x = 4,155,118.97
  5. Step 5: Solve for x
    x = 4,155,118.97/1,764.90
  6. Step 6: Final answer
    x = 2,354.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.