Home / 1,564.41-2,347.76-1,154.65

Finding the Fourth Proportional to 1,564.41, 2,347.76 and 1,154.65

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Solution

The fourth proportional to 1,564.41, 2,347.76 and 1,154.65 is: 1,732.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.41 : 2,347.76 = 1,154.65 : x
  2. Step 2: Convert to fraction form
    1,564.41/2,347.76 = 1,154.65/x
  3. Step 3: Cross multiply
    1,564.41x = 2,347.76 × 1,154.65
  4. Step 4: Simplify right side
    1,564.41x = 2,710,841.08
  5. Step 5: Solve for x
    x = 2,710,841.08/1,564.41
  6. Step 6: Final answer
    x = 1,732.82

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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.