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Finding the Fourth Proportional to 1,526.29, 2,106.08 and 965.77

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Solution

The fourth proportional to 1,526.29, 2,106.08 and 965.77 is: 1,332.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.29 : 2,106.08 = 965.77 : x
  2. Step 2: Convert to fraction form
    1,526.29/2,106.08 = 965.77/x
  3. Step 3: Cross multiply
    1,526.29x = 2,106.08 × 965.77
  4. Step 4: Simplify right side
    1,526.29x = 2,033,988.88
  5. Step 5: Solve for x
    x = 2,033,988.88/1,526.29
  6. Step 6: Final answer
    x = 1,332.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.