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Finding the Fourth Proportional to 2,484.69, 3,423.90 and 1,774.53

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Solution

The fourth proportional to 2,484.69, 3,423.90 and 1,774.53 is: 2,445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.69 : 3,423.90 = 1,774.53 : x
  2. Step 2: Convert to fraction form
    2,484.69/3,423.90 = 1,774.53/x
  3. Step 3: Cross multiply
    2,484.69x = 3,423.90 × 1,774.53
  4. Step 4: Simplify right side
    2,484.69x = 6,075,813.27
  5. Step 5: Solve for x
    x = 6,075,813.27/2,484.69
  6. Step 6: Final answer
    x = 2,445.30

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1.5x scale

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.