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Finding the Fourth Proportional to 1,570.09, 2,354.95 and 415.93

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Solution

The fourth proportional to 1,570.09, 2,354.95 and 415.93 is: 623.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.09 : 2,354.95 = 415.93 : x
  2. Step 2: Convert to fraction form
    1,570.09/2,354.95 = 415.93/x
  3. Step 3: Cross multiply
    1,570.09x = 2,354.95 × 415.93
  4. Step 4: Simplify right side
    1,570.09x = 979,494.35
  5. Step 5: Solve for x
    x = 979,494.35/1,570.09
  6. Step 6: Final answer
    x = 623.85

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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.