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Finding the Fourth Proportional to 2,437, 3,655.50 and 705.64

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Solution

The fourth proportional to 2,437, 3,655.50 and 705.64 is: 1,058.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437 : 3,655.50 = 705.64 : x
  2. Step 2: Convert to fraction form
    2,437/3,655.50 = 705.64/x
  3. Step 3: Cross multiply
    2,437x = 3,655.50 × 705.64
  4. Step 4: Simplify right side
    2,437x = 2,579,467.02
  5. Step 5: Solve for x
    x = 2,579,467.02/2,437
  6. Step 6: Final answer
    x = 1,058.46

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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.