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Finding the Fourth Proportional to 1,878.02, 2,592.86 and 1,681.19

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Solution

The fourth proportional to 1,878.02, 2,592.86 and 1,681.19 is: 2,321.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.02 : 2,592.86 = 1,681.19 : x
  2. Step 2: Convert to fraction form
    1,878.02/2,592.86 = 1,681.19/x
  3. Step 3: Cross multiply
    1,878.02x = 2,592.86 × 1,681.19
  4. Step 4: Simplify right side
    1,878.02x = 4,359,068.93
  5. Step 5: Solve for x
    x = 4,359,068.93/1,878.02
  6. Step 6: Final answer
    x = 2,321.10

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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.