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Finding the Fourth Proportional to 2,525.98, 3,484.71 and 1,477.60

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Solution

The fourth proportional to 2,525.98, 3,484.71 and 1,477.60 is: 2,038.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.98 : 3,484.71 = 1,477.60 : x
  2. Step 2: Convert to fraction form
    2,525.98/3,484.71 = 1,477.60/x
  3. Step 3: Cross multiply
    2,525.98x = 3,484.71 × 1,477.60
  4. Step 4: Simplify right side
    2,525.98x = 5,149,007.50
  5. Step 5: Solve for x
    x = 5,149,007.50/2,525.98
  6. Step 6: Final answer
    x = 2,038.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.