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Finding the Fourth Proportional to 2,045.63, 3,068.48 and 875.05

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Solution

The fourth proportional to 2,045.63, 3,068.48 and 875.05 is: 1,312.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.63 : 3,068.48 = 875.05 : x
  2. Step 2: Convert to fraction form
    2,045.63/3,068.48 = 875.05/x
  3. Step 3: Cross multiply
    2,045.63x = 3,068.48 × 875.05
  4. Step 4: Simplify right side
    2,045.63x = 2,685,067.94
  5. Step 5: Solve for x
    x = 2,685,067.94/2,045.63
  6. Step 6: Final answer
    x = 1,312.59

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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.