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Finding the Fourth Proportional to 2,470.26, 3,699.30 and 1,590

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Solution

The fourth proportional to 2,470.26, 3,699.30 and 1,590 is: 2,381.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.26 : 3,699.30 = 1,590 : x
  2. Step 2: Convert to fraction form
    2,470.26/3,699.30 = 1,590/x
  3. Step 3: Cross multiply
    2,470.26x = 3,699.30 × 1,590
  4. Step 4: Simplify right side
    2,470.26x = 5,881,887
  5. Step 5: Solve for x
    x = 5,881,887/2,470.26
  6. Step 6: Final answer
    x = 2,381.08

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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.