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Finding the Fourth Proportional to 1,916.09, 2,651.80 and 1,870.07

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Solution

The fourth proportional to 1,916.09, 2,651.80 and 1,870.07 is: 2,588.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.09 : 2,651.80 = 1,870.07 : x
  2. Step 2: Convert to fraction form
    1,916.09/2,651.80 = 1,870.07/x
  3. Step 3: Cross multiply
    1,916.09x = 2,651.80 × 1,870.07
  4. Step 4: Simplify right side
    1,916.09x = 4,959,053.58
  5. Step 5: Solve for x
    x = 4,959,053.58/1,916.09
  6. Step 6: Final answer
    x = 2,588.12

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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.