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Finding the Fourth Proportional to 1,699.48, 2,345.30 and 953.45

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Solution

The fourth proportional to 1,699.48, 2,345.30 and 953.45 is: 1,315.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.48 : 2,345.30 = 953.45 : x
  2. Step 2: Convert to fraction form
    1,699.48/2,345.30 = 953.45/x
  3. Step 3: Cross multiply
    1,699.48x = 2,345.30 × 953.45
  4. Step 4: Simplify right side
    1,699.48x = 2,236,126.29
  5. Step 5: Solve for x
    x = 2,236,126.29/1,699.48
  6. Step 6: Final answer
    x = 1,315.77

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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.