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Finding the Fourth Proportional to 2,383.15, 3,570 and 1,590.07

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Solution

The fourth proportional to 2,383.15, 3,570 and 1,590.07 is: 2,381.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.15 : 3,570 = 1,590.07 : x
  2. Step 2: Convert to fraction form
    2,383.15/3,570 = 1,590.07/x
  3. Step 3: Cross multiply
    2,383.15x = 3,570 × 1,590.07
  4. Step 4: Simplify right side
    2,383.15x = 5,676,549.90
  5. Step 5: Solve for x
    x = 5,676,549.90/2,383.15
  6. Step 6: Final answer
    x = 2,381.95

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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.