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Finding the Fourth Proportional to 1,532.45, 2,114.40 and 902.93

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Solution

The fourth proportional to 1,532.45, 2,114.40 and 902.93 is: 1,245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.45 : 2,114.40 = 902.93 : x
  2. Step 2: Convert to fraction form
    1,532.45/2,114.40 = 902.93/x
  3. Step 3: Cross multiply
    1,532.45x = 2,114.40 × 902.93
  4. Step 4: Simplify right side
    1,532.45x = 1,909,148.01
  5. Step 5: Solve for x
    x = 1,909,148.01/1,532.45
  6. Step 6: Final answer
    x = 1,245.82

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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.