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Finding the Fourth Proportional to 1,877.60, 2,814.08 and 836.40

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Solution

The fourth proportional to 1,877.60, 2,814.08 and 836.40 is: 1,253.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.60 : 2,814.08 = 836.40 : x
  2. Step 2: Convert to fraction form
    1,877.60/2,814.08 = 836.40/x
  3. Step 3: Cross multiply
    1,877.60x = 2,814.08 × 836.40
  4. Step 4: Simplify right side
    1,877.60x = 2,353,696.51
  5. Step 5: Solve for x
    x = 2,353,696.51/1,877.60
  6. Step 6: Final answer
    x = 1,253.57

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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.