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Finding the Fourth Proportional to 1,688.61, 2,328.72 and 1,158.26

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Solution

The fourth proportional to 1,688.61, 2,328.72 and 1,158.26 is: 1,597.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.61 : 2,328.72 = 1,158.26 : x
  2. Step 2: Convert to fraction form
    1,688.61/2,328.72 = 1,158.26/x
  3. Step 3: Cross multiply
    1,688.61x = 2,328.72 × 1,158.26
  4. Step 4: Simplify right side
    1,688.61x = 2,697,263.23
  5. Step 5: Solve for x
    x = 2,697,263.23/1,688.61
  6. Step 6: Final answer
    x = 1,597.33

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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.