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Finding the Fourth Proportional to 1,925.52, 2,893.47 and 1,048.70

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Solution

The fourth proportional to 1,925.52, 2,893.47 and 1,048.70 is: 1,575.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.52 : 2,893.47 = 1,048.70 : x
  2. Step 2: Convert to fraction form
    1,925.52/2,893.47 = 1,048.70/x
  3. Step 3: Cross multiply
    1,925.52x = 2,893.47 × 1,048.70
  4. Step 4: Simplify right side
    1,925.52x = 3,034,374.91
  5. Step 5: Solve for x
    x = 3,034,374.91/1,925.52
  6. Step 6: Final answer
    x = 1,575.87

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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.