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Finding the Fourth Proportional to 2,384.07, 3,576.45 and 740.76

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Solution

The fourth proportional to 2,384.07, 3,576.45 and 740.76 is: 1,111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.07 : 3,576.45 = 740.76 : x
  2. Step 2: Convert to fraction form
    2,384.07/3,576.45 = 740.76/x
  3. Step 3: Cross multiply
    2,384.07x = 3,576.45 × 740.76
  4. Step 4: Simplify right side
    2,384.07x = 2,649,291.10
  5. Step 5: Solve for x
    x = 2,649,291.10/2,384.07
  6. Step 6: Final answer
    x = 1,111.25

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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.