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Finding the Fourth Proportional to 1,492.63, 2,239.85 and 877.53

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Solution

The fourth proportional to 1,492.63, 2,239.85 and 877.53 is: 1,316.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.63 : 2,239.85 = 877.53 : x
  2. Step 2: Convert to fraction form
    1,492.63/2,239.85 = 877.53/x
  3. Step 3: Cross multiply
    1,492.63x = 2,239.85 × 877.53
  4. Step 4: Simplify right side
    1,492.63x = 1,965,546.16
  5. Step 5: Solve for x
    x = 1,965,546.16/1,492.63
  6. Step 6: Final answer
    x = 1,316.84

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Why These Related Problems?

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