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Finding the Fourth Proportional to 2,358.53, 3,537.84 and 715.07

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Solution

The fourth proportional to 2,358.53, 3,537.84 and 715.07 is: 1,072.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.53 : 3,537.84 = 715.07 : x
  2. Step 2: Convert to fraction form
    2,358.53/3,537.84 = 715.07/x
  3. Step 3: Cross multiply
    2,358.53x = 3,537.84 × 715.07
  4. Step 4: Simplify right side
    2,358.53x = 2,529,814.77
  5. Step 5: Solve for x
    x = 2,529,814.77/2,358.53
  6. Step 6: Final answer
    x = 1,072.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.