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Finding the Fourth Proportional to 1,686.48, 2,515.40 and 1,604.76

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Solution

The fourth proportional to 1,686.48, 2,515.40 and 1,604.76 is: 2,393.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.48 : 2,515.40 = 1,604.76 : x
  2. Step 2: Convert to fraction form
    1,686.48/2,515.40 = 1,604.76/x
  3. Step 3: Cross multiply
    1,686.48x = 2,515.40 × 1,604.76
  4. Step 4: Simplify right side
    1,686.48x = 4,036,605.28
  5. Step 5: Solve for x
    x = 4,036,605.28/1,686.48
  6. Step 6: Final answer
    x = 2,393.51

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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.