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Finding the Fourth Proportional to 1,534.70, 2,119.18 and 976.16

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Solution

The fourth proportional to 1,534.70, 2,119.18 and 976.16 is: 1,347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.70 : 2,119.18 = 976.16 : x
  2. Step 2: Convert to fraction form
    1,534.70/2,119.18 = 976.16/x
  3. Step 3: Cross multiply
    1,534.70x = 2,119.18 × 976.16
  4. Step 4: Simplify right side
    1,534.70x = 2,068,658.75
  5. Step 5: Solve for x
    x = 2,068,658.75/1,534.70
  6. Step 6: Final answer
    x = 1,347.92

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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.