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Finding the Fourth Proportional to 2,552, 3,521.76 and 1,505.12

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Solution

The fourth proportional to 2,552, 3,521.76 and 1,505.12 is: 2,077.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552 : 3,521.76 = 1,505.12 : x
  2. Step 2: Convert to fraction form
    2,552/3,521.76 = 1,505.12/x
  3. Step 3: Cross multiply
    2,552x = 3,521.76 × 1,505.12
  4. Step 4: Simplify right side
    2,552x = 5,300,671.41
  5. Step 5: Solve for x
    x = 5,300,671.41/2,552
  6. Step 6: Final answer
    x = 2,077.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.