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Finding the Fourth Proportional to 1,495.01, 2,239.27 and 945.83

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Solution

The fourth proportional to 1,495.01, 2,239.27 and 945.83 is: 1,416.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.01 : 2,239.27 = 945.83 : x
  2. Step 2: Convert to fraction form
    1,495.01/2,239.27 = 945.83/x
  3. Step 3: Cross multiply
    1,495.01x = 2,239.27 × 945.83
  4. Step 4: Simplify right side
    1,495.01x = 2,117,968.74
  5. Step 5: Solve for x
    x = 2,117,968.74/1,495.01
  6. Step 6: Final answer
    x = 1,416.69

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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.