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Finding the Fourth Proportional to 1,709.17, 2,359.95 and 1,681.93

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Solution

The fourth proportional to 1,709.17, 2,359.95 and 1,681.93 is: 2,322.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.17 : 2,359.95 = 1,681.93 : x
  2. Step 2: Convert to fraction form
    1,709.17/2,359.95 = 1,681.93/x
  3. Step 3: Cross multiply
    1,709.17x = 2,359.95 × 1,681.93
  4. Step 4: Simplify right side
    1,709.17x = 3,969,267.35
  5. Step 5: Solve for x
    x = 3,969,267.35/1,709.17
  6. Step 6: Final answer
    x = 2,322.34

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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.