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Finding the Fourth Proportional to 1,876.19, 2,570.37 and 1,806.10

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Solution

The fourth proportional to 1,876.19, 2,570.37 and 1,806.10 is: 2,474.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.19 : 2,570.37 = 1,806.10 : x
  2. Step 2: Convert to fraction form
    1,876.19/2,570.37 = 1,806.10/x
  3. Step 3: Cross multiply
    1,876.19x = 2,570.37 × 1,806.10
  4. Step 4: Simplify right side
    1,876.19x = 4,642,345.26
  5. Step 5: Solve for x
    x = 4,642,345.26/1,876.19
  6. Step 6: Final answer
    x = 2,474.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.