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Finding the Fourth Proportional to 1,341.61, 2,011.26 and 520.47

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Solution

The fourth proportional to 1,341.61, 2,011.26 and 520.47 is: 780.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.61 : 2,011.26 = 520.47 : x
  2. Step 2: Convert to fraction form
    1,341.61/2,011.26 = 520.47/x
  3. Step 3: Cross multiply
    1,341.61x = 2,011.26 × 520.47
  4. Step 4: Simplify right side
    1,341.61x = 1,046,802.44
  5. Step 5: Solve for x
    x = 1,046,802.44/1,341.61
  6. Step 6: Final answer
    x = 780.26

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