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Finding the Fourth Proportional to 1,652.95, 2,476.77 and 611.50

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Solution

The fourth proportional to 1,652.95, 2,476.77 and 611.50 is: 916.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.95 : 2,476.77 = 611.50 : x
  2. Step 2: Convert to fraction form
    1,652.95/2,476.77 = 611.50/x
  3. Step 3: Cross multiply
    1,652.95x = 2,476.77 × 611.50
  4. Step 4: Simplify right side
    1,652.95x = 1,514,544.86
  5. Step 5: Solve for x
    x = 1,514,544.86/1,652.95
  6. Step 6: Final answer
    x = 916.27

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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.