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Finding the Fourth Proportional to 1,783.74, 2,461.15 and 1,075.40

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Solution

The fourth proportional to 1,783.74, 2,461.15 and 1,075.40 is: 1,483.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.74 : 2,461.15 = 1,075.40 : x
  2. Step 2: Convert to fraction form
    1,783.74/2,461.15 = 1,075.40/x
  3. Step 3: Cross multiply
    1,783.74x = 2,461.15 × 1,075.40
  4. Step 4: Simplify right side
    1,783.74x = 2,646,720.71
  5. Step 5: Solve for x
    x = 2,646,720.71/1,783.74
  6. Step 6: Final answer
    x = 1,483.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.