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Finding the Fourth Proportional to 4,432.84, 6,648.74 and 1,145.67

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Solution

The fourth proportional to 4,432.84, 6,648.74 and 1,145.67 is: 1,718.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,432.84 : 6,648.74 = 1,145.67 : x
  2. Step 2: Convert to fraction form
    4,432.84/6,648.74 = 1,145.67/x
  3. Step 3: Cross multiply
    4,432.84x = 6,648.74 × 1,145.67
  4. Step 4: Simplify right side
    4,432.84x = 7,617,256.23
  5. Step 5: Solve for x
    x = 7,617,256.23/4,432.84
  6. Step 6: Final answer
    x = 1,718.37

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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.