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Finding the Fourth Proportional to 1,749.56, 2,624.75 and 595.31

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Solution

The fourth proportional to 1,749.56, 2,624.75 and 595.31 is: 893.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.56 : 2,624.75 = 595.31 : x
  2. Step 2: Convert to fraction form
    1,749.56/2,624.75 = 595.31/x
  3. Step 3: Cross multiply
    1,749.56x = 2,624.75 × 595.31
  4. Step 4: Simplify right side
    1,749.56x = 1,562,547.97
  5. Step 5: Solve for x
    x = 1,562,547.97/1,749.56
  6. Step 6: Final answer
    x = 893.11

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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.