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Finding the Fourth Proportional to 1,681.92, 2,320.86 and 1,009.59

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Solution

The fourth proportional to 1,681.92, 2,320.86 and 1,009.59 is: 1,393.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.92 : 2,320.86 = 1,009.59 : x
  2. Step 2: Convert to fraction form
    1,681.92/2,320.86 = 1,009.59/x
  3. Step 3: Cross multiply
    1,681.92x = 2,320.86 × 1,009.59
  4. Step 4: Simplify right side
    1,681.92x = 2,343,100.40
  5. Step 5: Solve for x
    x = 2,343,100.40/1,681.92
  6. Step 6: Final answer
    x = 1,393.11

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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.