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Finding the Fourth Proportional to 1,537.86, 2,295.71 and 1,428.51

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Solution

The fourth proportional to 1,537.86, 2,295.71 and 1,428.51 is: 2,132.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.86 : 2,295.71 = 1,428.51 : x
  2. Step 2: Convert to fraction form
    1,537.86/2,295.71 = 1,428.51/x
  3. Step 3: Cross multiply
    1,537.86x = 2,295.71 × 1,428.51
  4. Step 4: Simplify right side
    1,537.86x = 3,279,448.26
  5. Step 5: Solve for x
    x = 3,279,448.26/1,537.86
  6. Step 6: Final answer
    x = 2,132.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.