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Finding the Fourth Proportional to 1,714.04, 2,571.20 and 618.40

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Solution

The fourth proportional to 1,714.04, 2,571.20 and 618.40 is: 927.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.04 : 2,571.20 = 618.40 : x
  2. Step 2: Convert to fraction form
    1,714.04/2,571.20 = 618.40/x
  3. Step 3: Cross multiply
    1,714.04x = 2,571.20 × 618.40
  4. Step 4: Simplify right side
    1,714.04x = 1,590,030.08
  5. Step 5: Solve for x
    x = 1,590,030.08/1,714.04
  6. Step 6: Final answer
    x = 927.65

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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.