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Finding the Fourth Proportional to 1,762.21, 2,643.11 and 592.16

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Solution

The fourth proportional to 1,762.21, 2,643.11 and 592.16 is: 888.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.21 : 2,643.11 = 592.16 : x
  2. Step 2: Convert to fraction form
    1,762.21/2,643.11 = 592.16/x
  3. Step 3: Cross multiply
    1,762.21x = 2,643.11 × 592.16
  4. Step 4: Simplify right side
    1,762.21x = 1,565,141.06
  5. Step 5: Solve for x
    x = 1,565,141.06/1,762.21
  6. Step 6: Final answer
    x = 888.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.