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Finding the Fourth Proportional to 2,444.39, 3,666.53 and 595.50

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Solution

The fourth proportional to 2,444.39, 3,666.53 and 595.50 is: 893.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.39 : 3,666.53 = 595.50 : x
  2. Step 2: Convert to fraction form
    2,444.39/3,666.53 = 595.50/x
  3. Step 3: Cross multiply
    2,444.39x = 3,666.53 × 595.50
  4. Step 4: Simplify right side
    2,444.39x = 2,183,424.47
  5. Step 5: Solve for x
    x = 2,183,424.47/2,444.39
  6. Step 6: Final answer
    x = 893.24

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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.