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Finding the Fourth Proportional to 1,562.90, 2,326.66 and 1,554.74

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Solution

The fourth proportional to 1,562.90, 2,326.66 and 1,554.74 is: 2,314.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.90 : 2,326.66 = 1,554.74 : x
  2. Step 2: Convert to fraction form
    1,562.90/2,326.66 = 1,554.74/x
  3. Step 3: Cross multiply
    1,562.90x = 2,326.66 × 1,554.74
  4. Step 4: Simplify right side
    1,562.90x = 3,617,351.37
  5. Step 5: Solve for x
    x = 3,617,351.37/1,562.90
  6. Step 6: Final answer
    x = 2,314.51

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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.