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Finding the Fourth Proportional to 2,588, 3,570 and 1,690.48

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Solution

The fourth proportional to 2,588, 3,570 and 1,690.48 is: 2,331.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588 : 3,570 = 1,690.48 : x
  2. Step 2: Convert to fraction form
    2,588/3,570 = 1,690.48/x
  3. Step 3: Cross multiply
    2,588x = 3,570 × 1,690.48
  4. Step 4: Simplify right side
    2,588x = 6,035,013.60
  5. Step 5: Solve for x
    x = 6,035,013.60/2,588
  6. Step 6: Final answer
    x = 2,331.92

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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.