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Finding the Fourth Proportional to 1,941.84, 2,925.74 and 1,756.98

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Solution

The fourth proportional to 1,941.84, 2,925.74 and 1,756.98 is: 2,647.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.84 : 2,925.74 = 1,756.98 : x
  2. Step 2: Convert to fraction form
    1,941.84/2,925.74 = 1,756.98/x
  3. Step 3: Cross multiply
    1,941.84x = 2,925.74 × 1,756.98
  4. Step 4: Simplify right side
    1,941.84x = 5,140,466.67
  5. Step 5: Solve for x
    x = 5,140,466.67/1,941.84
  6. Step 6: Final answer
    x = 2,647.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.