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Finding the Fourth Proportional to 2,075.16, 2,863.76 and 1,236

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Solution

The fourth proportional to 2,075.16, 2,863.76 and 1,236 is: 1,705.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.16 : 2,863.76 = 1,236 : x
  2. Step 2: Convert to fraction form
    2,075.16/2,863.76 = 1,236/x
  3. Step 3: Cross multiply
    2,075.16x = 2,863.76 × 1,236
  4. Step 4: Simplify right side
    2,075.16x = 3,539,607.36
  5. Step 5: Solve for x
    x = 3,539,607.36/2,075.16
  6. Step 6: Final answer
    x = 1,705.70

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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.