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Finding the Fourth Proportional to 1,495.65, 2,064.95 and 1,024.34

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Solution

The fourth proportional to 1,495.65, 2,064.95 and 1,024.34 is: 1,414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.65 : 2,064.95 = 1,024.34 : x
  2. Step 2: Convert to fraction form
    1,495.65/2,064.95 = 1,024.34/x
  3. Step 3: Cross multiply
    1,495.65x = 2,064.95 × 1,024.34
  4. Step 4: Simplify right side
    1,495.65x = 2,115,195.44
  5. Step 5: Solve for x
    x = 2,115,195.44/1,495.65
  6. Step 6: Final answer
    x = 1,414.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.