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Finding the Fourth Proportional to 2,973.49, 4,460.91 and 1,586.09

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Solution

The fourth proportional to 2,973.49, 4,460.91 and 1,586.09 is: 2,379.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.49 : 4,460.91 = 1,586.09 : x
  2. Step 2: Convert to fraction form
    2,973.49/4,460.91 = 1,586.09/x
  3. Step 3: Cross multiply
    2,973.49x = 4,460.91 × 1,586.09
  4. Step 4: Simplify right side
    2,973.49x = 7,075,415.89
  5. Step 5: Solve for x
    x = 7,075,415.89/2,973.49
  6. Step 6: Final answer
    x = 2,379.50

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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.