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Finding the Fourth Proportional to 1,688.77, 2,332.80 and 1,320.40

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Solution

The fourth proportional to 1,688.77, 2,332.80 and 1,320.40 is: 1,823.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.77 : 2,332.80 = 1,320.40 : x
  2. Step 2: Convert to fraction form
    1,688.77/2,332.80 = 1,320.40/x
  3. Step 3: Cross multiply
    1,688.77x = 2,332.80 × 1,320.40
  4. Step 4: Simplify right side
    1,688.77x = 3,080,232.04
  5. Step 5: Solve for x
    x = 3,080,232.04/1,688.77
  6. Step 6: Final answer
    x = 1,823.95

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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.