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Finding the Fourth Proportional to 2,583.84, 3,565.65 and 1,404.90

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Solution

The fourth proportional to 2,583.84, 3,565.65 and 1,404.90 is: 1,938.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.84 : 3,565.65 = 1,404.90 : x
  2. Step 2: Convert to fraction form
    2,583.84/3,565.65 = 1,404.90/x
  3. Step 3: Cross multiply
    2,583.84x = 3,565.65 × 1,404.90
  4. Step 4: Simplify right side
    2,583.84x = 5,009,381.69
  5. Step 5: Solve for x
    x = 5,009,381.69/2,583.84
  6. Step 6: Final answer
    x = 1,938.74

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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.