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Finding the Fourth Proportional to 2,994.84, 4,492.60 and 1,534.33

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Solution

The fourth proportional to 2,994.84, 4,492.60 and 1,534.33 is: 2,301.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.84 : 4,492.60 = 1,534.33 : x
  2. Step 2: Convert to fraction form
    2,994.84/4,492.60 = 1,534.33/x
  3. Step 3: Cross multiply
    2,994.84x = 4,492.60 × 1,534.33
  4. Step 4: Simplify right side
    2,994.84x = 6,893,130.96
  5. Step 5: Solve for x
    x = 6,893,130.96/2,994.84
  6. Step 6: Final answer
    x = 2,301.67

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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.