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Finding the Fourth Proportional to 1,878.32, 2,816.52 and 1,262

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Solution

The fourth proportional to 1,878.32, 2,816.52 and 1,262 is: 1,892.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.32 : 2,816.52 = 1,262 : x
  2. Step 2: Convert to fraction form
    1,878.32/2,816.52 = 1,262/x
  3. Step 3: Cross multiply
    1,878.32x = 2,816.52 × 1,262
  4. Step 4: Simplify right side
    1,878.32x = 3,554,448.24
  5. Step 5: Solve for x
    x = 3,554,448.24/1,878.32
  6. Step 6: Final answer
    x = 1,892.35

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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.