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Finding the Fourth Proportional to 1,749.81, 2,624.71 and 595.56

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Solution

The fourth proportional to 1,749.81, 2,624.71 and 595.56 is: 893.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.81 : 2,624.71 = 595.56 : x
  2. Step 2: Convert to fraction form
    1,749.81/2,624.71 = 595.56/x
  3. Step 3: Cross multiply
    1,749.81x = 2,624.71 × 595.56
  4. Step 4: Simplify right side
    1,749.81x = 1,563,156.19
  5. Step 5: Solve for x
    x = 1,563,156.19/1,749.81
  6. Step 6: Final answer
    x = 893.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.