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Finding the Fourth Proportional to 2,359.68, 3,537.60 and 973.68

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Solution

The fourth proportional to 2,359.68, 3,537.60 and 973.68 is: 1,459.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.68 : 3,537.60 = 973.68 : x
  2. Step 2: Convert to fraction form
    2,359.68/3,537.60 = 973.68/x
  3. Step 3: Cross multiply
    2,359.68x = 3,537.60 × 973.68
  4. Step 4: Simplify right side
    2,359.68x = 3,444,490.37
  5. Step 5: Solve for x
    x = 3,444,490.37/2,359.68
  6. Step 6: Final answer
    x = 1,459.73

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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.