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Finding the Fourth Proportional to 1,655.34, 2,465.01 and 1,637.16

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Solution

The fourth proportional to 1,655.34, 2,465.01 and 1,637.16 is: 2,437.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.34 : 2,465.01 = 1,637.16 : x
  2. Step 2: Convert to fraction form
    1,655.34/2,465.01 = 1,637.16/x
  3. Step 3: Cross multiply
    1,655.34x = 2,465.01 × 1,637.16
  4. Step 4: Simplify right side
    1,655.34x = 4,035,615.77
  5. Step 5: Solve for x
    x = 4,035,615.77/1,655.34
  6. Step 6: Final answer
    x = 2,437.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.