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Finding the Fourth Proportional to 2,250, 3,376.74 and 1,561.50

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Solution

The fourth proportional to 2,250, 3,376.74 and 1,561.50 is: 2,343.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250 : 3,376.74 = 1,561.50 : x
  2. Step 2: Convert to fraction form
    2,250/3,376.74 = 1,561.50/x
  3. Step 3: Cross multiply
    2,250x = 3,376.74 × 1,561.50
  4. Step 4: Simplify right side
    2,250x = 5,272,779.51
  5. Step 5: Solve for x
    x = 5,272,779.51/2,250
  6. Step 6: Final answer
    x = 2,343.46

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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.