Home / 1,537.54-2,307.14-1,174.66

Finding the Fourth Proportional to 1,537.54, 2,307.14 and 1,174.66

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Solution

The fourth proportional to 1,537.54, 2,307.14 and 1,174.66 is: 1,762.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.54 : 2,307.14 = 1,174.66 : x
  2. Step 2: Convert to fraction form
    1,537.54/2,307.14 = 1,174.66/x
  3. Step 3: Cross multiply
    1,537.54x = 2,307.14 × 1,174.66
  4. Step 4: Simplify right side
    1,537.54x = 2,710,105.07
  5. Step 5: Solve for x
    x = 2,710,105.07/1,537.54
  6. Step 6: Final answer
    x = 1,762.62

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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.