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Finding the Fourth Proportional to 1,492.64, 2,060.51 and 1,138.58

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Solution

The fourth proportional to 1,492.64, 2,060.51 and 1,138.58 is: 1,571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.64 : 2,060.51 = 1,138.58 : x
  2. Step 2: Convert to fraction form
    1,492.64/2,060.51 = 1,138.58/x
  3. Step 3: Cross multiply
    1,492.64x = 2,060.51 × 1,138.58
  4. Step 4: Simplify right side
    1,492.64x = 2,346,039.48
  5. Step 5: Solve for x
    x = 2,346,039.48/1,492.64
  6. Step 6: Final answer
    x = 1,571.74

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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.