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Finding the Fourth Proportional to 1,784.04, 2,461.29 and 1,075.95

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Solution

The fourth proportional to 1,784.04, 2,461.29 and 1,075.95 is: 1,484.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.04 : 2,461.29 = 1,075.95 : x
  2. Step 2: Convert to fraction form
    1,784.04/2,461.29 = 1,075.95/x
  3. Step 3: Cross multiply
    1,784.04x = 2,461.29 × 1,075.95
  4. Step 4: Simplify right side
    1,784.04x = 2,648,220.94
  5. Step 5: Solve for x
    x = 2,648,220.94/1,784.04
  6. Step 6: Final answer
    x = 1,484.39

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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.