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Finding the Fourth Proportional to 1,492.35, 2,235.06 and 1,440.46

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Solution

The fourth proportional to 1,492.35, 2,235.06 and 1,440.46 is: 2,157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.35 : 2,235.06 = 1,440.46 : x
  2. Step 2: Convert to fraction form
    1,492.35/2,235.06 = 1,440.46/x
  3. Step 3: Cross multiply
    1,492.35x = 2,235.06 × 1,440.46
  4. Step 4: Simplify right side
    1,492.35x = 3,219,504.96
  5. Step 5: Solve for x
    x = 3,219,504.96/1,492.35
  6. Step 6: Final answer
    x = 2,157.34

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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.