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Finding the Fourth Proportional to 3,066.29, 4,599.35 and 875.00

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Solution

The fourth proportional to 3,066.29, 4,599.35 and 875.00 is: 1,312.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.29 : 4,599.35 = 875.00 : x
  2. Step 2: Convert to fraction form
    3,066.29/4,599.35 = 875.00/x
  3. Step 3: Cross multiply
    3,066.29x = 4,599.35 × 875.00
  4. Step 4: Simplify right side
    3,066.29x = 4,024,441.65
  5. Step 5: Solve for x
    x = 4,024,441.65/3,066.29
  6. Step 6: Final answer
    x = 1,312.48

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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.