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Finding the Fourth Proportional to 1,810.65, 2,714.31 and 714.75

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Solution

The fourth proportional to 1,810.65, 2,714.31 and 714.75 is: 1,071.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.65 : 2,714.31 = 714.75 : x
  2. Step 2: Convert to fraction form
    1,810.65/2,714.31 = 714.75/x
  3. Step 3: Cross multiply
    1,810.65x = 2,714.31 × 714.75
  4. Step 4: Simplify right side
    1,810.65x = 1,940,053.07
  5. Step 5: Solve for x
    x = 1,940,053.07/1,810.65
  6. Step 6: Final answer
    x = 1,071.47

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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.