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Finding the Fourth Proportional to 1,714.34, 2,566.64 and 1,437.32

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Solution

The fourth proportional to 1,714.34, 2,566.64 and 1,437.32 is: 2,151.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.34 : 2,566.64 = 1,437.32 : x
  2. Step 2: Convert to fraction form
    1,714.34/2,566.64 = 1,437.32/x
  3. Step 3: Cross multiply
    1,714.34x = 2,566.64 × 1,437.32
  4. Step 4: Simplify right side
    1,714.34x = 3,689,083.00
  5. Step 5: Solve for x
    x = 3,689,083.00/1,714.34
  6. Step 6: Final answer
    x = 2,151.90

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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.