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Finding the Fourth Proportional to 1,875, 2,795.91 and 1,741.08

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Solution

The fourth proportional to 1,875, 2,795.91 and 1,741.08 is: 2,596.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875 : 2,795.91 = 1,741.08 : x
  2. Step 2: Convert to fraction form
    1,875/2,795.91 = 1,741.08/x
  3. Step 3: Cross multiply
    1,875x = 2,795.91 × 1,741.08
  4. Step 4: Simplify right side
    1,875x = 4,867,902.98
  5. Step 5: Solve for x
    x = 4,867,902.98/1,875
  6. Step 6: Final answer
    x = 2,596.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.