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Finding the Fourth Proportional to 2,341.18, 3,510.58 and 780.63

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Solution

The fourth proportional to 2,341.18, 3,510.58 and 780.63 is: 1,170.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.18 : 3,510.58 = 780.63 : x
  2. Step 2: Convert to fraction form
    2,341.18/3,510.58 = 780.63/x
  3. Step 3: Cross multiply
    2,341.18x = 3,510.58 × 780.63
  4. Step 4: Simplify right side
    2,341.18x = 2,740,478.21
  5. Step 5: Solve for x
    x = 2,740,478.21/2,341.18
  6. Step 6: Final answer
    x = 1,170.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.