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Finding the Fourth Proportional to 1,712.79, 2,364.54 and 1,187.91

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Solution

The fourth proportional to 1,712.79, 2,364.54 and 1,187.91 is: 1,639.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.79 : 2,364.54 = 1,187.91 : x
  2. Step 2: Convert to fraction form
    1,712.79/2,364.54 = 1,187.91/x
  3. Step 3: Cross multiply
    1,712.79x = 2,364.54 × 1,187.91
  4. Step 4: Simplify right side
    1,712.79x = 2,808,860.71
  5. Step 5: Solve for x
    x = 2,808,860.71/1,712.79
  6. Step 6: Final answer
    x = 1,639.93

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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.