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Finding the Fourth Proportional to 2,358.74, 3,532.70 and 1,316.45

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Solution

The fourth proportional to 2,358.74, 3,532.70 and 1,316.45 is: 1,971.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.74 : 3,532.70 = 1,316.45 : x
  2. Step 2: Convert to fraction form
    2,358.74/3,532.70 = 1,316.45/x
  3. Step 3: Cross multiply
    2,358.74x = 3,532.70 × 1,316.45
  4. Step 4: Simplify right side
    2,358.74x = 4,650,608.54
  5. Step 5: Solve for x
    x = 4,650,608.54/2,358.74
  6. Step 6: Final answer
    x = 1,971.65

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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.