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Finding the Fourth Proportional to 1,533, 2,114.88 and 1,178.32

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Solution

The fourth proportional to 1,533, 2,114.88 and 1,178.32 is: 1,625.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533 : 2,114.88 = 1,178.32 : x
  2. Step 2: Convert to fraction form
    1,533/2,114.88 = 1,178.32/x
  3. Step 3: Cross multiply
    1,533x = 2,114.88 × 1,178.32
  4. Step 4: Simplify right side
    1,533x = 2,492,005.40
  5. Step 5: Solve for x
    x = 2,492,005.40/1,533
  6. Step 6: Final answer
    x = 1,625.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.