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Finding the Fourth Proportional to 1,783.49, 2,460.80 and 1,075.15

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Solution

The fourth proportional to 1,783.49, 2,460.80 and 1,075.15 is: 1,483.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.49 : 2,460.80 = 1,075.15 : x
  2. Step 2: Convert to fraction form
    1,783.49/2,460.80 = 1,075.15/x
  3. Step 3: Cross multiply
    1,783.49x = 2,460.80 × 1,075.15
  4. Step 4: Simplify right side
    1,783.49x = 2,645,725.66
  5. Step 5: Solve for x
    x = 2,645,725.66/1,783.49
  6. Step 6: Final answer
    x = 1,483.45

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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.