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Finding the Fourth Proportional to 1,454.04, 2,178.90 and 875.52

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Solution

The fourth proportional to 1,454.04, 2,178.90 and 875.52 is: 1,311.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.04 : 2,178.90 = 875.52 : x
  2. Step 2: Convert to fraction form
    1,454.04/2,178.90 = 875.52/x
  3. Step 3: Cross multiply
    1,454.04x = 2,178.90 × 875.52
  4. Step 4: Simplify right side
    1,454.04x = 1,907,670.53
  5. Step 5: Solve for x
    x = 1,907,670.53/1,454.04
  6. Step 6: Final answer
    x = 1,311.98

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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.