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Finding the Fourth Proportional to 3,059.04, 4,590.02 and 1,415.91

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Solution

The fourth proportional to 3,059.04, 4,590.02 and 1,415.91 is: 2,124.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.04 : 4,590.02 = 1,415.91 : x
  2. Step 2: Convert to fraction form
    3,059.04/4,590.02 = 1,415.91/x
  3. Step 3: Cross multiply
    3,059.04x = 4,590.02 × 1,415.91
  4. Step 4: Simplify right side
    3,059.04x = 6,499,055.22
  5. Step 5: Solve for x
    x = 6,499,055.22/3,059.04
  6. Step 6: Final answer
    x = 2,124.54

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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.