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Finding the Fourth Proportional to 1,714.10, 2,569.59 and 618.22

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Solution

The fourth proportional to 1,714.10, 2,569.59 and 618.22 is: 926.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.10 : 2,569.59 = 618.22 : x
  2. Step 2: Convert to fraction form
    1,714.10/2,569.59 = 618.22/x
  3. Step 3: Cross multiply
    1,714.10x = 2,569.59 × 618.22
  4. Step 4: Simplify right side
    1,714.10x = 1,588,571.93
  5. Step 5: Solve for x
    x = 1,588,571.93/1,714.10
  6. Step 6: Final answer
    x = 926.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.