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Finding the Fourth Proportional to 1,412.78, 2,116.40 and 924.35

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Solution

The fourth proportional to 1,412.78, 2,116.40 and 924.35 is: 1,384.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.78 : 2,116.40 = 924.35 : x
  2. Step 2: Convert to fraction form
    1,412.78/2,116.40 = 924.35/x
  3. Step 3: Cross multiply
    1,412.78x = 2,116.40 × 924.35
  4. Step 4: Simplify right side
    1,412.78x = 1,956,279.14
  5. Step 5: Solve for x
    x = 1,956,279.14/1,412.78
  6. Step 6: Final answer
    x = 1,384.71

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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.