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Finding the Fourth Proportional to 1,566.32, 2,347.65 and 1,258.52

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Solution

The fourth proportional to 1,566.32, 2,347.65 and 1,258.52 is: 1,886.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.32 : 2,347.65 = 1,258.52 : x
  2. Step 2: Convert to fraction form
    1,566.32/2,347.65 = 1,258.52/x
  3. Step 3: Cross multiply
    1,566.32x = 2,347.65 × 1,258.52
  4. Step 4: Simplify right side
    1,566.32x = 2,954,552.74
  5. Step 5: Solve for x
    x = 2,954,552.74/1,566.32
  6. Step 6: Final answer
    x = 1,886.31

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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.