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Finding the Fourth Proportional to 2,124.02, 2,931.02 and 1,179.76

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Solution

The fourth proportional to 2,124.02, 2,931.02 and 1,179.76 is: 1,628.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.02 : 2,931.02 = 1,179.76 : x
  2. Step 2: Convert to fraction form
    2,124.02/2,931.02 = 1,179.76/x
  3. Step 3: Cross multiply
    2,124.02x = 2,931.02 × 1,179.76
  4. Step 4: Simplify right side
    2,124.02x = 3,457,900.16
  5. Step 5: Solve for x
    x = 3,457,900.16/2,124.02
  6. Step 6: Final answer
    x = 1,628.00

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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.