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Finding the Fourth Proportional to 2,310.04, 3,465.06 and 578.66

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Solution

The fourth proportional to 2,310.04, 3,465.06 and 578.66 is: 867.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.04 : 3,465.06 = 578.66 : x
  2. Step 2: Convert to fraction form
    2,310.04/3,465.06 = 578.66/x
  3. Step 3: Cross multiply
    2,310.04x = 3,465.06 × 578.66
  4. Step 4: Simplify right side
    2,310.04x = 2,005,088.73
  5. Step 5: Solve for x
    x = 2,005,088.73/2,310.04
  6. Step 6: Final answer
    x = 867.99

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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.