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Finding the Fourth Proportional to 1,699.76, 2,339.88 and 1,462.16

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Solution

The fourth proportional to 1,699.76, 2,339.88 and 1,462.16 is: 2,012.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.76 : 2,339.88 = 1,462.16 : x
  2. Step 2: Convert to fraction form
    1,699.76/2,339.88 = 1,462.16/x
  3. Step 3: Cross multiply
    1,699.76x = 2,339.88 × 1,462.16
  4. Step 4: Simplify right side
    1,699.76x = 3,421,278.94
  5. Step 5: Solve for x
    x = 3,421,278.94/1,699.76
  6. Step 6: Final answer
    x = 2,012.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.