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Finding the Fourth Proportional to 2,580.07, 3,842.93 and 2,526.07

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Solution

The fourth proportional to 2,580.07, 3,842.93 and 2,526.07 is: 3,762.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.07 : 3,842.93 = 2,526.07 : x
  2. Step 2: Convert to fraction form
    2,580.07/3,842.93 = 2,526.07/x
  3. Step 3: Cross multiply
    2,580.07x = 3,842.93 × 2,526.07
  4. Step 4: Simplify right side
    2,580.07x = 9,707,510.19
  5. Step 5: Solve for x
    x = 9,707,510.19/2,580.07
  6. Step 6: Final answer
    x = 3,762.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.