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Finding the Fourth Proportional to 1,875.66, 2,813.88 and 706.02

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Solution

The fourth proportional to 1,875.66, 2,813.88 and 706.02 is: 1,059.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.66 : 2,813.88 = 706.02 : x
  2. Step 2: Convert to fraction form
    1,875.66/2,813.88 = 706.02/x
  3. Step 3: Cross multiply
    1,875.66x = 2,813.88 × 706.02
  4. Step 4: Simplify right side
    1,875.66x = 1,986,655.56
  5. Step 5: Solve for x
    x = 1,986,655.56/1,875.66
  6. Step 6: Final answer
    x = 1,059.18

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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.