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Finding the Fourth Proportional to 1,641.51, 2,462.67 and 1,506.51

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Solution

The fourth proportional to 1,641.51, 2,462.67 and 1,506.51 is: 2,260.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.51 : 2,462.67 = 1,506.51 : x
  2. Step 2: Convert to fraction form
    1,641.51/2,462.67 = 1,506.51/x
  3. Step 3: Cross multiply
    1,641.51x = 2,462.67 × 1,506.51
  4. Step 4: Simplify right side
    1,641.51x = 3,710,036.98
  5. Step 5: Solve for x
    x = 3,710,036.98/1,641.51
  6. Step 6: Final answer
    x = 2,260.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.