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Finding the Fourth Proportional to 1,421.78, 1,962.12 and 924.84

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Solution

The fourth proportional to 1,421.78, 1,962.12 and 924.84 is: 1,276.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.78 : 1,962.12 = 924.84 : x
  2. Step 2: Convert to fraction form
    1,421.78/1,962.12 = 924.84/x
  3. Step 3: Cross multiply
    1,421.78x = 1,962.12 × 924.84
  4. Step 4: Simplify right side
    1,421.78x = 1,814,647.06
  5. Step 5: Solve for x
    x = 1,814,647.06/1,421.78
  6. Step 6: Final answer
    x = 1,276.32

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