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Finding the Fourth Proportional to 1,501.77, 2,252.55 and 406.11

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Solution

The fourth proportional to 1,501.77, 2,252.55 and 406.11 is: 609.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.77 : 2,252.55 = 406.11 : x
  2. Step 2: Convert to fraction form
    1,501.77/2,252.55 = 406.11/x
  3. Step 3: Cross multiply
    1,501.77x = 2,252.55 × 406.11
  4. Step 4: Simplify right side
    1,501.77x = 914,783.08
  5. Step 5: Solve for x
    x = 914,783.08/1,501.77
  6. Step 6: Final answer
    x = 609.14

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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.