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Finding the Fourth Proportional to 2,340.17, 3,510.15 and 585.19

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Solution

The fourth proportional to 2,340.17, 3,510.15 and 585.19 is: 877.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.17 : 3,510.15 = 585.19 : x
  2. Step 2: Convert to fraction form
    2,340.17/3,510.15 = 585.19/x
  3. Step 3: Cross multiply
    2,340.17x = 3,510.15 × 585.19
  4. Step 4: Simplify right side
    2,340.17x = 2,054,106.87
  5. Step 5: Solve for x
    x = 2,054,106.87/2,340.17
  6. Step 6: Final answer
    x = 877.76

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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.