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Finding the Fourth Proportional to 1,886.54, 2,604.76 and 1,686.77

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Solution

The fourth proportional to 1,886.54, 2,604.76 and 1,686.77 is: 2,328.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.54 : 2,604.76 = 1,686.77 : x
  2. Step 2: Convert to fraction form
    1,886.54/2,604.76 = 1,686.77/x
  3. Step 3: Cross multiply
    1,886.54x = 2,604.76 × 1,686.77
  4. Step 4: Simplify right side
    1,886.54x = 4,393,638.20
  5. Step 5: Solve for x
    x = 4,393,638.20/1,886.54
  6. Step 6: Final answer
    x = 2,328.94

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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.