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Finding the Fourth Proportional to 1,595.14, 2,392.44 and 440.89

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Solution

The fourth proportional to 1,595.14, 2,392.44 and 440.89 is: 661.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.14 : 2,392.44 = 440.89 : x
  2. Step 2: Convert to fraction form
    1,595.14/2,392.44 = 440.89/x
  3. Step 3: Cross multiply
    1,595.14x = 2,392.44 × 440.89
  4. Step 4: Simplify right side
    1,595.14x = 1,054,802.87
  5. Step 5: Solve for x
    x = 1,054,802.87/1,595.14
  6. Step 6: Final answer
    x = 661.26

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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.