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Finding the Fourth Proportional to 1,854.48, 2,780.91 and 555.65

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Solution

The fourth proportional to 1,854.48, 2,780.91 and 555.65 is: 833.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.48 : 2,780.91 = 555.65 : x
  2. Step 2: Convert to fraction form
    1,854.48/2,780.91 = 555.65/x
  3. Step 3: Cross multiply
    1,854.48x = 2,780.91 × 555.65
  4. Step 4: Simplify right side
    1,854.48x = 1,545,210.21
  5. Step 5: Solve for x
    x = 1,545,210.21/1,854.48
  6. Step 6: Final answer
    x = 833.23

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