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Finding the Fourth Proportional to 2,985.84, 4,478.76 and 1,253.34

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Solution

The fourth proportional to 2,985.84, 4,478.76 and 1,253.34 is: 1,880.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.84 : 4,478.76 = 1,253.34 : x
  2. Step 2: Convert to fraction form
    2,985.84/4,478.76 = 1,253.34/x
  3. Step 3: Cross multiply
    2,985.84x = 4,478.76 × 1,253.34
  4. Step 4: Simplify right side
    2,985.84x = 5,613,409.06
  5. Step 5: Solve for x
    x = 5,613,409.06/2,985.84
  6. Step 6: Final answer
    x = 1,880.01

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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.