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Finding the Fourth Proportional to 2,470.76, 3,707.50 and 1,010.93

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Solution

The fourth proportional to 2,470.76, 3,707.50 and 1,010.93 is: 1,516.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.76 : 3,707.50 = 1,010.93 : x
  2. Step 2: Convert to fraction form
    2,470.76/3,707.50 = 1,010.93/x
  3. Step 3: Cross multiply
    2,470.76x = 3,707.50 × 1,010.93
  4. Step 4: Simplify right side
    2,470.76x = 3,748,037.93
  5. Step 5: Solve for x
    x = 3,748,037.93/2,470.76
  6. Step 6: Final answer
    x = 1,516.96

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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.