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Finding the Fourth Proportional to 1,779.84, 2,457.54 and 1,387.80

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Solution

The fourth proportional to 1,779.84, 2,457.54 and 1,387.80 is: 1,916.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.84 : 2,457.54 = 1,387.80 : x
  2. Step 2: Convert to fraction form
    1,779.84/2,457.54 = 1,387.80/x
  3. Step 3: Cross multiply
    1,779.84x = 2,457.54 × 1,387.80
  4. Step 4: Simplify right side
    1,779.84x = 3,410,574.01
  5. Step 5: Solve for x
    x = 3,410,574.01/1,779.84
  6. Step 6: Final answer
    x = 1,916.23

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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.