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Finding the Fourth Proportional to 1,537.74, 2,303.34 and 805.10

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Solution

The fourth proportional to 1,537.74, 2,303.34 and 805.10 is: 1,205.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.74 : 2,303.34 = 805.10 : x
  2. Step 2: Convert to fraction form
    1,537.74/2,303.34 = 805.10/x
  3. Step 3: Cross multiply
    1,537.74x = 2,303.34 × 805.10
  4. Step 4: Simplify right side
    1,537.74x = 1,854,404.50
  5. Step 5: Solve for x
    x = 1,854,404.50/1,537.74
  6. Step 6: Final answer
    x = 1,205.93

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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.