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Finding the Fourth Proportional to 2,888.35, 4,332.53 and 697.07

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Solution

The fourth proportional to 2,888.35, 4,332.53 and 697.07 is: 1,045.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.35 : 4,332.53 = 697.07 : x
  2. Step 2: Convert to fraction form
    2,888.35/4,332.53 = 697.07/x
  3. Step 3: Cross multiply
    2,888.35x = 4,332.53 × 697.07
  4. Step 4: Simplify right side
    2,888.35x = 3,020,089.26
  5. Step 5: Solve for x
    x = 3,020,089.26/2,888.35
  6. Step 6: Final answer
    x = 1,045.61

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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.