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Finding the Fourth Proportional to 1,693.96, 2,337.58 and 947.77

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Solution

The fourth proportional to 1,693.96, 2,337.58 and 947.77 is: 1,307.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.96 : 2,337.58 = 947.77 : x
  2. Step 2: Convert to fraction form
    1,693.96/2,337.58 = 947.77/x
  3. Step 3: Cross multiply
    1,693.96x = 2,337.58 × 947.77
  4. Step 4: Simplify right side
    1,693.96x = 2,215,488.20
  5. Step 5: Solve for x
    x = 2,215,488.20/1,693.96
  6. Step 6: Final answer
    x = 1,307.88

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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.