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Finding the Fourth Proportional to 2,953.70, 4,430.71 and 1,105.30

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Solution

The fourth proportional to 2,953.70, 4,430.71 and 1,105.30 is: 1,658.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.70 : 4,430.71 = 1,105.30 : x
  2. Step 2: Convert to fraction form
    2,953.70/4,430.71 = 1,105.30/x
  3. Step 3: Cross multiply
    2,953.70x = 4,430.71 × 1,105.30
  4. Step 4: Simplify right side
    2,953.70x = 4,897,263.76
  5. Step 5: Solve for x
    x = 4,897,263.76/2,953.70
  6. Step 6: Final answer
    x = 1,658.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.