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Finding the Fourth Proportional to 1,404.10, 2,106.14 and 364.01

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Solution

The fourth proportional to 1,404.10, 2,106.14 and 364.01 is: 546.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.10 : 2,106.14 = 364.01 : x
  2. Step 2: Convert to fraction form
    1,404.10/2,106.14 = 364.01/x
  3. Step 3: Cross multiply
    1,404.10x = 2,106.14 × 364.01
  4. Step 4: Simplify right side
    1,404.10x = 766,655.52
  5. Step 5: Solve for x
    x = 766,655.52/1,404.10
  6. Step 6: Final answer
    x = 546.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.