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Finding the Fourth Proportional to 1,464, 2,020.32 and 1,354.08

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Solution

The fourth proportional to 1,464, 2,020.32 and 1,354.08 is: 1,868.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464 : 2,020.32 = 1,354.08 : x
  2. Step 2: Convert to fraction form
    1,464/2,020.32 = 1,354.08/x
  3. Step 3: Cross multiply
    1,464x = 2,020.32 × 1,354.08
  4. Step 4: Simplify right side
    1,464x = 2,735,674.91
  5. Step 5: Solve for x
    x = 2,735,674.91/1,464
  6. Step 6: Final answer
    x = 1,868.63

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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.