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Finding the Fourth Proportional to 2,966.76, 4,094.53 and 1,707.77

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Solution

The fourth proportional to 2,966.76, 4,094.53 and 1,707.77 is: 2,356.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.76 : 4,094.53 = 1,707.77 : x
  2. Step 2: Convert to fraction form
    2,966.76/4,094.53 = 1,707.77/x
  3. Step 3: Cross multiply
    2,966.76x = 4,094.53 × 1,707.77
  4. Step 4: Simplify right side
    2,966.76x = 6,992,521.46
  5. Step 5: Solve for x
    x = 6,992,521.46/2,966.76
  6. Step 6: Final answer
    x = 2,356.96

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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.