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Finding the Fourth Proportional to 2,074.79, 2,862.51 and 1,410.50

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Solution

The fourth proportional to 2,074.79, 2,862.51 and 1,410.50 is: 1,946.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.79 : 2,862.51 = 1,410.50 : x
  2. Step 2: Convert to fraction form
    2,074.79/2,862.51 = 1,410.50/x
  3. Step 3: Cross multiply
    2,074.79x = 2,862.51 × 1,410.50
  4. Step 4: Simplify right side
    2,074.79x = 4,037,570.36
  5. Step 5: Solve for x
    x = 4,037,570.36/2,074.79
  6. Step 6: Final answer
    x = 1,946.01

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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.