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Finding the Fourth Proportional to 1,737.48, 2,595.93 and 1,656.84

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Solution

The fourth proportional to 1,737.48, 2,595.93 and 1,656.84 is: 2,475.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.48 : 2,595.93 = 1,656.84 : x
  2. Step 2: Convert to fraction form
    1,737.48/2,595.93 = 1,656.84/x
  3. Step 3: Cross multiply
    1,737.48x = 2,595.93 × 1,656.84
  4. Step 4: Simplify right side
    1,737.48x = 4,301,040.66
  5. Step 5: Solve for x
    x = 4,301,040.66/1,737.48
  6. Step 6: Final answer
    x = 2,475.45

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Why These Related Problems?

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