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Finding the Fourth Proportional to 1,762.64, 2,432.46 and 976.76

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Solution

The fourth proportional to 1,762.64, 2,432.46 and 976.76 is: 1,347.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.64 : 2,432.46 = 976.76 : x
  2. Step 2: Convert to fraction form
    1,762.64/2,432.46 = 976.76/x
  3. Step 3: Cross multiply
    1,762.64x = 2,432.46 × 976.76
  4. Step 4: Simplify right side
    1,762.64x = 2,375,929.63
  5. Step 5: Solve for x
    x = 2,375,929.63/1,762.64
  6. Step 6: Final answer
    x = 1,347.94

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