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Finding the Fourth Proportional to 2,899.77, 4,345.02 and 1,511.07

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Solution

The fourth proportional to 2,899.77, 4,345.02 and 1,511.07 is: 2,264.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.77 : 4,345.02 = 1,511.07 : x
  2. Step 2: Convert to fraction form
    2,899.77/4,345.02 = 1,511.07/x
  3. Step 3: Cross multiply
    2,899.77x = 4,345.02 × 1,511.07
  4. Step 4: Simplify right side
    2,899.77x = 6,565,629.37
  5. Step 5: Solve for x
    x = 6,565,629.37/2,899.77
  6. Step 6: Final answer
    x = 2,264.19

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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.