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Finding the Fourth Proportional to 1,762.86, 2,430.27 and 1,264.67

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Solution

The fourth proportional to 1,762.86, 2,430.27 and 1,264.67 is: 1,743.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.86 : 2,430.27 = 1,264.67 : x
  2. Step 2: Convert to fraction form
    1,762.86/2,430.27 = 1,264.67/x
  3. Step 3: Cross multiply
    1,762.86x = 2,430.27 × 1,264.67
  4. Step 4: Simplify right side
    1,762.86x = 3,073,477.41
  5. Step 5: Solve for x
    x = 3,073,477.41/1,762.86
  6. Step 6: Final answer
    x = 1,743.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.