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Finding the Fourth Proportional to 1,686.08, 2,326.08 and 1,056.50

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Solution

The fourth proportional to 1,686.08, 2,326.08 and 1,056.50 is: 1,457.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.08 : 2,326.08 = 1,056.50 : x
  2. Step 2: Convert to fraction form
    1,686.08/2,326.08 = 1,056.50/x
  3. Step 3: Cross multiply
    1,686.08x = 2,326.08 × 1,056.50
  4. Step 4: Simplify right side
    1,686.08x = 2,457,503.52
  5. Step 5: Solve for x
    x = 2,457,503.52/1,686.08
  6. Step 6: Final answer
    x = 1,457.52

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Why These Related Problems?

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