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Finding the Fourth Proportional to 2,045.51, 3,068.50 and 584.74

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Solution

The fourth proportional to 2,045.51, 3,068.50 and 584.74 is: 877.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.51 : 3,068.50 = 584.74 : x
  2. Step 2: Convert to fraction form
    2,045.51/3,068.50 = 584.74/x
  3. Step 3: Cross multiply
    2,045.51x = 3,068.50 × 584.74
  4. Step 4: Simplify right side
    2,045.51x = 1,794,274.69
  5. Step 5: Solve for x
    x = 1,794,274.69/2,045.51
  6. Step 6: Final answer
    x = 877.18

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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.